x^4=x+1 (уравнение)

Найду корень уравнения: x^4=x+1

Вы ввели

 4        
x  = x + 1

$$x^{4} = x + 1$$

Быстрый ответ

                                                                                                                                                                                                      /   /          ______________                                                                                     \\                                                                                                                                      /   /          ______________                                                                                     \\
                                                                                                                                                                                                      |   |         /        _____                                                                                      ||                                                                                                                                      |   |         /        _____                                                                                      ||
                                                                                                                                                                                                      |   |        /  1    \/ 849                                 2                                         2           ||                                                                                                                                      |   |        /  1    \/ 849                                 2                                         2           ||
                                                                                                                                                                                                      |   | - 2*3 /   -- + -------  - --------------------------------------------------------- + --------------------- ||                                                                                                                                      |   | - 2*3 /   -- + -------  - --------------------------------------------------------- + --------------------- ||
                                                                                                                                                                                                      |   |     \/    16     144                _______________________________________________          ______________ ||                                                                                                                                      |   |     \/    16     144                _______________________________________________          ______________ ||
                                                                                                                                                                                                      |   |                                    /        ______________                                  /        _____  ||                                                                                                                                      |   |                                    /        ______________                                  /        _____  ||
                                                                                                                                                                                                      |   |                                   /        /        _____                                  /  1    \/ 849   ||                                                                                                                                      |   |                                   /        /        _____                                  /  1    \/ 849   ||
                                                                                                                                                                                                      |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||                                                                                                                                      |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||
                                                                                                                                                                                                      |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||                                                                                                                                      |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||
                                                                                                                                                                                                      |   |                                /       \/    16     144             ______________                          ||                                                                                                                                      |   |                                /       \/    16     144             ______________                          ||
                                                                                                                                                                                                      |   |                               /                                    /        _____                           ||                                                                                                                                      |   |                               /                                    /        _____                           ||
                                                                                                                                                                                                      |   |                              /                                    /  1    \/ 849                            ||                                                                                                                                      |   |                              /                                    /  1    \/ 849                            ||
                                                                                                                                                                                                      |   |                             /                                3*3 /   -- + -------                           ||                                                                                                                                      |   |                             /                                3*3 /   -- + -------                           ||
                                                                                                                                                                                                      |   |                           \/                                   \/    16     144                             ||                                                                                                                                      |   |                           \/                                   \/    16     144                             ||
                                                                                                                                                                                                      |log|-------------------------------------------------------------------------------------------------------------||                                                                                                                                      |log|-------------------------------------------------------------------------------------------------------------||
                                                                                                                                                                                                      |   ||         ______________                                                                                    |||                                                                                                                                      |   ||         ______________                                                                                    |||
                                                                                                                                                                                                      |   ||        /        _____                                                                                     |||                                                                                                                                      |   ||        /        _____                                                                                     |||
                                                                                                                                                                                                      |   ||       /  1    \/ 849                                 2                                         2          |||                                                                                                                                      |   ||       /  1    \/ 849                                 2                                         2          |||
                                                                                                                                                                                                      |   ||- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------|||                                                                                                                                      |   ||- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------|||
                                                                                                                                                                                                      |   ||    \/    16     144                _______________________________________________          ______________|||                                                                                                                                      |   ||    \/    16     144                _______________________________________________          ______________|||
                                                                                                                                                                                                      |   ||                                   /        ______________                                  /        _____ |||                                                                                                                                      |   ||                                   /        ______________                                  /        _____ |||
                                                                                                                                                                                                      |   ||                                  /        /        _____                                  /  1    \/ 849  |||                                                                                                                                      |   ||                                  /        /        _____                                  /  1    \/ 849  |||
                                                                                                                                                                                                      |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||                                                                                                                                      |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||
                                                                                                                                                                                                      |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||                                                                                                                                      |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||
                                                                                                                                                                                                      |   ||                               /       \/    16     144             ______________                         |||                                                                                                                                      |   ||                               /       \/    16     144             ______________                         |||
                                                                                  _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||                  _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||
                                                                                 / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||                 / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||
                                                                                /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||                /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||
                                                                               /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|               /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|
                                                                              /    |- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------| *cosh|------------------------------------------------------------------------------------------------------------------|              /    |- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------| *sinh|------------------------------------------------------------------------------------------------------------------|
                 _______________________________________________             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /
                /        ______________                                     /      |                                   /        ______________                                  /        _____ |                                                                                                                                      /      |                                   /        ______________                                  /        _____ |                                                                                                                          
               /        /        _____                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                          
              /        /  1    \/ 849               2                     /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                                    /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                          
             /    2*3 /   -- + -------  - ---------------------          /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                                   /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                          
            /       \/    16     144             ______________         /          |                               /       \/    16     144             ______________                         |                                                                                                                                  /          |                               /       \/    16     144             ______________                         |                                                                                                                          
           /                                    /        _____         /           |                              /                                    /        _____                          |                                                                                                                                 /           |                              /                                    /        _____                          |                                                                                                                          
          /                                    /  1    \/ 849         /            |                             /                                    /  1    \/ 849                           |                                                                                                                                /            |                             /                                    /  1    \/ 849                           |                                                                                                                          
         /                                3*3 /   -- + -------       /             |                            /                                3*3 /   -- + -------                          |                                                                                                                               /             |                            /                                3*3 /   -- + -------                          |                                                                                                                          
       \/                                   \/    16     144       \/              |                          \/                                   \/    16     144                            |                                                                                                                             \/              |                          \/                                   \/    16     144                            |                                                                                                                          
x1 = - --------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                   2                                                                                                                                                          2                                                                                                                                                                                                                                                         2                                                                                                                           

$$x_{1} = - \frac{1}{2} \sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} - \frac{1}{2} \cosh{\left (\frac{1}{2} \log{\left (\frac{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|} \right )} \right )} \sqrt{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|} - \frac{1}{2} \sinh{\left (\frac{1}{2} \log{\left (\frac{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|} \right )} \right )} \sqrt{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|}$$

                                                                                                                                                                                                      /   /          ______________                                                                                     \\                                                                                                                                      /   /          ______________                                                                                     \\
                                                                                                                                                                                                      |   |         /        _____                                                                                      ||                                                                                                                                      |   |         /        _____                                                                                      ||
                                                                                                                                                                                                      |   |        /  1    \/ 849                                 2                                         2           ||                                                                                                                                      |   |        /  1    \/ 849                                 2                                         2           ||
                                                                                                                                                                                                      |   | - 2*3 /   -- + -------  - --------------------------------------------------------- + --------------------- ||                                                                                                                                      |   | - 2*3 /   -- + -------  - --------------------------------------------------------- + --------------------- ||
                                                                                                                                                                                                      |   |     \/    16     144                _______________________________________________          ______________ ||                                                                                                                                      |   |     \/    16     144                _______________________________________________          ______________ ||
                                                                                                                                                                                                      |   |                                    /        ______________                                  /        _____  ||                                                                                                                                      |   |                                    /        ______________                                  /        _____  ||
                                                                                                                                                                                                      |   |                                   /        /        _____                                  /  1    \/ 849   ||                                                                                                                                      |   |                                   /        /        _____                                  /  1    \/ 849   ||
                                                                                                                                                                                                      |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||                                                                                                                                      |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||
                                                                                                                                                                                                      |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||                                                                                                                                      |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||
                                                                                                                                                                                                      |   |                                /       \/    16     144             ______________                          ||                                                                                                                                      |   |                                /       \/    16     144             ______________                          ||
                                                                                                                                                                                                      |   |                               /                                    /        _____                           ||                                                                                                                                      |   |                               /                                    /        _____                           ||
                                                                                                                                                                                                      |   |                              /                                    /  1    \/ 849                            ||                                                                                                                                      |   |                              /                                    /  1    \/ 849                            ||
                                                                                                                                                                                                      |   |                             /                                3*3 /   -- + -------                           ||                                                                                                                                      |   |                             /                                3*3 /   -- + -------                           ||
                                                                                                                                                                                                      |   |                           \/                                   \/    16     144                             ||                                                                                                                                      |   |                           \/                                   \/    16     144                             ||
                                                                                                                                                                                                      |log|-------------------------------------------------------------------------------------------------------------||                                                                                                                                      |log|-------------------------------------------------------------------------------------------------------------||
                                                                                                                                                                                                      |   ||         ______________                                                                                    |||                                                                                                                                      |   ||         ______________                                                                                    |||
                                                                                                                                                                                                      |   ||        /        _____                                                                                     |||                                                                                                                                      |   ||        /        _____                                                                                     |||
                                                                                                                                                                                                      |   ||       /  1    \/ 849                                 2                                         2          |||                                                                                                                                      |   ||       /  1    \/ 849                                 2                                         2          |||
                                                                                                                                                                                                      |   ||- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------|||                                                                                                                                      |   ||- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------|||
                                                                                                                                                                                                      |   ||    \/    16     144                _______________________________________________          ______________|||                                                                                                                                      |   ||    \/    16     144                _______________________________________________          ______________|||
                                                                                                                                                                                                      |   ||                                   /        ______________                                  /        _____ |||                                                                                                                                      |   ||                                   /        ______________                                  /        _____ |||
                                                                                                                                                                                                      |   ||                                  /        /        _____                                  /  1    \/ 849  |||                                                                                                                                      |   ||                                  /        /        _____                                  /  1    \/ 849  |||
                                                                                                                                                                                                      |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||                                                                                                                                      |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||
                                                                                                                                                                                                      |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||                                                                                                                                      |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||
                                                                                                                                                                                                      |   ||                               /       \/    16     144             ______________                         |||                                                                                                                                      |   ||                               /       \/    16     144             ______________                         |||
                                                                                  _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||                  _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||
                                                                                 / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||                 / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||
                                                                                /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||                /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||
                                                                               /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|               /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|
                                                                              /    |- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------| *cosh|------------------------------------------------------------------------------------------------------------------|              /    |- 2*3 /   -- + -------  - --------------------------------------------------------- + ---------------------| *sinh|------------------------------------------------------------------------------------------------------------------|
                 _______________________________________________             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /
                /        ______________                                     /      |                                   /        ______________                                  /        _____ |                                                                                                                                      /      |                                   /        ______________                                  /        _____ |                                                                                                                          
               /        /        _____                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                          
              /        /  1    \/ 849               2                     /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                                    /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                          
             /    2*3 /   -- + -------  - ---------------------          /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                                   /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                          
            /       \/    16     144             ______________         /          |                               /       \/    16     144             ______________                         |                                                                                                                                  /          |                               /       \/    16     144             ______________                         |                                                                                                                          
           /                                    /        _____         /           |                              /                                    /        _____                          |                                                                                                                                 /           |                              /                                    /        _____                          |                                                                                                                          
          /                                    /  1    \/ 849         /            |                             /                                    /  1    \/ 849                           |                                                                                                                                /            |                             /                                    /  1    \/ 849                           |                                                                                                                          
         /                                3*3 /   -- + -------       /             |                            /                                3*3 /   -- + -------                          |                                                                                                                               /             |                            /                                3*3 /   -- + -------                          |                                                                                                                          
       \/                                   \/    16     144       \/              |                          \/                                   \/    16     144                            |                                                                                                                             \/              |                          \/                                   \/    16     144                            |                                                                                                                          
x2 = - --------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                   2                                                                                                                                                          2                                                                                                                                                                                                                                                         2                                                                                                                           

$$x_{2} = - \frac{1}{2} \sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{1}{2} \cosh{\left (\frac{1}{2} \log{\left (\frac{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|} \right )} \right )} \sqrt{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|} + \frac{1}{2} \sinh{\left (\frac{1}{2} \log{\left (\frac{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|} \right )} \right )} \sqrt{\left|{- \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}} - 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}\right|}$$

                                                                                                                                                                                                    /   /          ______________                                                                                     \\                                                                                                                                      /   /          ______________                                                                                     \\
                                                                                                                                                                                                    |   |         /        _____                                                                                      ||                                                                                                                                      |   |         /        _____                                                                                      ||
                                                                                                                                                                                                    |   |        /  1    \/ 849                                 2                                         2           ||                                                                                                                                      |   |        /  1    \/ 849                                 2                                         2           ||
                                                                                                                                                                                                    |   | - 2*3 /   -- + -------  + --------------------------------------------------------- + --------------------- ||                                                                                                                                      |   | - 2*3 /   -- + -------  + --------------------------------------------------------- + --------------------- ||
                                                                                                                                                                                                    |   |     \/    16     144                _______________________________________________          ______________ ||                                                                                                                                      |   |     \/    16     144                _______________________________________________          ______________ ||
                                                                                                                                                                                                    |   |                                    /        ______________                                  /        _____  ||                                                                                                                                      |   |                                    /        ______________                                  /        _____  ||
                                                                                                                                                                                                    |   |                                   /        /        _____                                  /  1    \/ 849   ||                                                                                                                                      |   |                                   /        /        _____                                  /  1    \/ 849   ||
                                                                                                                                                                                                    |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||                                                                                                                                      |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||
                                                                                                                                                                                                    |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||                                                                                                                                      |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||
                                                                                                                                                                                                    |   |                                /       \/    16     144             ______________                          ||                                                                                                                                      |   |                                /       \/    16     144             ______________                          ||
                                                                                                                                                                                                    |   |                               /                                    /        _____                           ||                                                                                                                                      |   |                               /                                    /        _____                           ||
                                                                                                                                                                                                    |   |                              /                                    /  1    \/ 849                            ||                                                                                                                                      |   |                              /                                    /  1    \/ 849                            ||
                                                                                                                                                                                                    |   |                             /                                3*3 /   -- + -------                           ||                                                                                                                                      |   |                             /                                3*3 /   -- + -------                           ||
                                                                                                                                                                                                    |   |                           \/                                   \/    16     144                             ||                                                                                                                                      |   |                           \/                                   \/    16     144                             ||
                                                                                                                                                                                                    |log|-------------------------------------------------------------------------------------------------------------||                                                                                                                                      |log|-------------------------------------------------------------------------------------------------------------||
                                                                                                                                                                                                    |   ||         ______________                                                                                    |||                                                                                                                                      |   ||         ______________                                                                                    |||
                                                                                                                                                                                                    |   ||        /        _____                                                                                     |||                                                                                                                                      |   ||        /        _____                                                                                     |||
                                                                                                                                                                                                    |   ||       /  1    \/ 849                                 2                                         2          |||                                                                                                                                      |   ||       /  1    \/ 849                                 2                                         2          |||
                                                                                                                                                                                                    |   ||- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------|||                                                                                                                                      |   ||- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------|||
                                                                                                                                                                                                    |   ||    \/    16     144                _______________________________________________          ______________|||                                                                                                                                      |   ||    \/    16     144                _______________________________________________          ______________|||
                                                                                                                                                                                                    |   ||                                   /        ______________                                  /        _____ |||                                                                                                                                      |   ||                                   /        ______________                                  /        _____ |||
                                                                                                                                                                                                    |   ||                                  /        /        _____                                  /  1    \/ 849  |||                                                                                                                                      |   ||                                  /        /        _____                                  /  1    \/ 849  |||
                                                                                                                                                                                                    |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||                                                                                                                                      |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||
                                                                                                                                                                                                    |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||                                                                                                                                      |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||
                                                                                                                                                                                                    |   ||                               /       \/    16     144             ______________                         |||                                                                                                                                      |   ||                               /       \/    16     144             ______________                         |||
                                                                                _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||                  _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||
                                                                               / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||                 / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||
                                                                              /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||                /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||
                                                                             /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|               /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|
                                                                            /    |- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------| *cosh|------------------------------------------------------------------------------------------------------------------|              /    |- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------| *sinh|------------------------------------------------------------------------------------------------------------------|
               _______________________________________________             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /
              /        ______________                                     /      |                                   /        ______________                                  /        _____ |                                                                                                                                      /      |                                   /        ______________                                  /        _____ |                                                                                                                          
             /        /        _____                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                          
            /        /  1    \/ 849               2                     /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                                    /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                          
           /    2*3 /   -- + -------  - ---------------------          /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                                   /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                          
          /       \/    16     144             ______________         /          |                               /       \/    16     144             ______________                         |                                                                                                                                  /          |                               /       \/    16     144             ______________                         |                                                                                                                          
         /                                    /        _____         /           |                              /                                    /        _____                          |                                                                                                                                 /           |                              /                                    /        _____                          |                                                                                                                          
        /                                    /  1    \/ 849         /            |                             /                                    /  1    \/ 849                           |                                                                                                                                /            |                             /                                    /  1    \/ 849                           |                                                                                                                          
       /                                3*3 /   -- + -------       /             |                            /                                3*3 /   -- + -------                          |                                                                                                                               /             |                            /                                3*3 /   -- + -------                          |                                                                                                                          
     \/                                   \/    16     144       \/              |                          \/                                   \/    16     144                            |                                                                                                                             \/              |                          \/                                   \/    16     144                            |                                                                                                                          
x3 = --------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                 2                                                                                                                                                          2                                                                                                                                                                                                                                                         2                                                                                                                           

$$x_{3} = \frac{1}{2} \sinh{\left (\frac{1}{2} \log{\left (\frac{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} \right )} \right )} \sqrt{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} + \frac{1}{2} \sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{1}{2} \cosh{\left (\frac{1}{2} \log{\left (\frac{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} \right )} \right )} \sqrt{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|}$$

                                                                                                                                                                                                    /   /          ______________                                                                                     \\                                                                                                                                      /   /          ______________                                                                                     \\
                                                                                                                                                                                                    |   |         /        _____                                                                                      ||                                                                                                                                      |   |         /        _____                                                                                      ||
                                                                                                                                                                                                    |   |        /  1    \/ 849                                 2                                         2           ||                                                                                                                                      |   |        /  1    \/ 849                                 2                                         2           ||
                                                                                                                                                                                                    |   | - 2*3 /   -- + -------  + --------------------------------------------------------- + --------------------- ||                                                                                                                                      |   | - 2*3 /   -- + -------  + --------------------------------------------------------- + --------------------- ||
                                                                                                                                                                                                    |   |     \/    16     144                _______________________________________________          ______________ ||                                                                                                                                      |   |     \/    16     144                _______________________________________________          ______________ ||
                                                                                                                                                                                                    |   |                                    /        ______________                                  /        _____  ||                                                                                                                                      |   |                                    /        ______________                                  /        _____  ||
                                                                                                                                                                                                    |   |                                   /        /        _____                                  /  1    \/ 849   ||                                                                                                                                      |   |                                   /        /        _____                                  /  1    \/ 849   ||
                                                                                                                                                                                                    |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||                                                                                                                                      |   |                                  /        /  1    \/ 849               2              3*3 /   -- + -------  ||
                                                                                                                                                                                                    |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||                                                                                                                                      |   |                                 /    2*3 /   -- + -------  - ---------------------      \/    16     144    ||
                                                                                                                                                                                                    |   |                                /       \/    16     144             ______________                          ||                                                                                                                                      |   |                                /       \/    16     144             ______________                          ||
                                                                                                                                                                                                    |   |                               /                                    /        _____                           ||                                                                                                                                      |   |                               /                                    /        _____                           ||
                                                                                                                                                                                                    |   |                              /                                    /  1    \/ 849                            ||                                                                                                                                      |   |                              /                                    /  1    \/ 849                            ||
                                                                                                                                                                                                    |   |                             /                                3*3 /   -- + -------                           ||                                                                                                                                      |   |                             /                                3*3 /   -- + -------                           ||
                                                                                                                                                                                                    |   |                           \/                                   \/    16     144                             ||                                                                                                                                      |   |                           \/                                   \/    16     144                             ||
                                                                                                                                                                                                    |log|-------------------------------------------------------------------------------------------------------------||                                                                                                                                      |log|-------------------------------------------------------------------------------------------------------------||
                                                                                                                                                                                                    |   ||         ______________                                                                                    |||                                                                                                                                      |   ||         ______________                                                                                    |||
                                                                                                                                                                                                    |   ||        /        _____                                                                                     |||                                                                                                                                      |   ||        /        _____                                                                                     |||
                                                                                                                                                                                                    |   ||       /  1    \/ 849                                 2                                         2          |||                                                                                                                                      |   ||       /  1    \/ 849                                 2                                         2          |||
                                                                                                                                                                                                    |   ||- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------|||                                                                                                                                      |   ||- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------|||
                                                                                                                                                                                                    |   ||    \/    16     144                _______________________________________________          ______________|||                                                                                                                                      |   ||    \/    16     144                _______________________________________________          ______________|||
                                                                                                                                                                                                    |   ||                                   /        ______________                                  /        _____ |||                                                                                                                                      |   ||                                   /        ______________                                  /        _____ |||
                                                                                                                                                                                                    |   ||                                  /        /        _____                                  /  1    \/ 849  |||                                                                                                                                      |   ||                                  /        /        _____                                  /  1    \/ 849  |||
                                                                                                                                                                                                    |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||                                                                                                                                      |   ||                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |||
                                                                                                                                                                                                    |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||                                                                                                                                      |   ||                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |||
                                                                                                                                                                                                    |   ||                               /       \/    16     144             ______________                         |||                                                                                                                                      |   ||                               /       \/    16     144             ______________                         |||
                                                                                _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||                  _______________________________________________________________________________________________________________     |   ||                              /                                    /        _____                          |||
                                                                               / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||                 / |         ______________                                                                                    |      |   ||                             /                                    /  1    \/ 849                           |||
                                                                              /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||                /  |        /        _____                                                                                     |      |   ||                            /                                3*3 /   -- + -------                          |||
                                                                             /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|               /   |       /  1    \/ 849                                 2                                         2          |      |   \|                          \/                                   \/    16     144                            |/|
                                                                            /    |- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------| *cosh|------------------------------------------------------------------------------------------------------------------|              /    |- 2*3 /   -- + -------  + --------------------------------------------------------- + ---------------------| *sinh|------------------------------------------------------------------------------------------------------------------|
               _______________________________________________             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /             /     |    \/    16     144                _______________________________________________          ______________|      \                                                        2                                                         /
              /        ______________                                     /      |                                   /        ______________                                  /        _____ |                                                                                                                                      /      |                                   /        ______________                                  /        _____ |                                                                                                                          
             /        /        _____                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                                     /       |                                  /        /        _____                                  /  1    \/ 849  |                                                                                                                          
            /        /  1    \/ 849               2                     /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                                    /        |                                 /        /  1    \/ 849               2              3*3 /   -- + ------- |                                                                                                                          
           /    2*3 /   -- + -------  - ---------------------          /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                                   /         |                                /    2*3 /   -- + -------  - ---------------------      \/    16     144   |                                                                                                                          
          /       \/    16     144             ______________         /          |                               /       \/    16     144             ______________                         |                                                                                                                                  /          |                               /       \/    16     144             ______________                         |                                                                                                                          
         /                                    /        _____         /           |                              /                                    /        _____                          |                                                                                                                                 /           |                              /                                    /        _____                          |                                                                                                                          
        /                                    /  1    \/ 849         /            |                             /                                    /  1    \/ 849                           |                                                                                                                                /            |                             /                                    /  1    \/ 849                           |                                                                                                                          
       /                                3*3 /   -- + -------       /             |                            /                                3*3 /   -- + -------                          |                                                                                                                               /             |                            /                                3*3 /   -- + -------                          |                                                                                                                          
     \/                                   \/    16     144       \/              |                          \/                                   \/    16     144                            |                                                                                                                             \/              |                          \/                                   \/    16     144                            |                                                                                                                          
x4 = --------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                 2                                                                                                                                                          2                                                                                                                                                                                                                                                         2                                                                                                                           

$$x_{4} = - \frac{1}{2} \cosh{\left (\frac{1}{2} \log{\left (\frac{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} \right )} \right )} \sqrt{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} - \frac{1}{2} \sinh{\left (\frac{1}{2} \log{\left (\frac{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} \right )} \right )} \sqrt{\left|{- 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}} + \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + \frac{2}{\sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}}}\right|} + \frac{1}{2} \sqrt{- \frac{2}{3 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}} + 2 \sqrt[3]{\frac{1}{16} + \frac{\sqrt{849}}{144}}}$$

Численный ответ

x1 = -0.724491959001000

x2 = -0.248126062803 + 1.03398206098*i

x3 = 1.22074408461000

x4 = -0.248126062803 - 1.03398206098*i

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