x^2+y^2=36 y-x^2=1

Вы ввели

 2    2     
x  + y  = 36

$$x^{2} + y^{2} = 36$$

     2    
y - x  = 1

$$- x^{2} + y = 1$$

Быстрый ответ

$$x_{1} = - \sqrt{- \frac{3}{2} + \frac{\sqrt{149}}{2}}$$
=
$$- \frac{1}{2} \sqrt{-6 + 2 \sqrt{149}}$$
=

-2.14552506577454

$$y_{1} = - \frac{1}{2} + \frac{\sqrt{149}}{2}$$
=
$$- \frac{1}{2} + \frac{\sqrt{149}}{2}$$
=

5.60327780786685

$$x_{2} = \sqrt{- \frac{3}{2} + \frac{\sqrt{149}}{2}}$$
=
$$\frac{1}{2} \sqrt{-6 + 2 \sqrt{149}}$$
=

2.14552506577454

$$y_{2} = - \frac{1}{2} + \frac{\sqrt{149}}{2}$$
=
$$- \frac{1}{2} + \frac{\sqrt{149}}{2}$$
=

5.60327780786685

$$x_{3} = - \sqrt{- \frac{\sqrt{149}}{2} - \frac{3}{2}}$$
=
$$- \frac{i}{2} \sqrt{6 + 2 \sqrt{149}}$$
=

-2.75740417927203*i

$$y_{3} = - \frac{\sqrt{149}}{2} - \frac{1}{2}$$
=
$$- \frac{\sqrt{149}}{2} - \frac{1}{2}$$
=

-6.60327780786685

$$x_{4} = \sqrt{- \frac{\sqrt{149}}{2} - \frac{3}{2}}$$
=
$$\frac{1}{2} \sqrt{- 2 \sqrt{149} - 6}$$
=

2.75740417927203*i

$$y_{4} = - \frac{\sqrt{149}}{2} - \frac{1}{2}$$
=
$$- \frac{\sqrt{149}}{2} - \frac{1}{2}$$
=

-6.60327780786685

Численный ответ

x1 = 2.145525065774542
y1 = 5.603277807866851

x2 = -2.145525065774542
y2 = 5.603277807866851