x^3/(2*y)+3*x*y=25 y^3/x-2*x*y=16

Вы ввели

  3             
 x              
--- + 3*x*y = 25
2*y             

$$\frac{x^{3}}{2 y} + 3 x y = 25$$

 3             
y              
-- - 2*x*y = 16
x              

$$- 2 x y + \frac{y^{3}}{x} = 16$$

Быстрый ответ

$$x_{1} = -2$$
=
$$-2$$
=

-2

$$y_{1} = -4$$
=
$$-4$$
=

-4

$$x_{2} = 2$$
=
$$2$$
=

2

$$y_{2} = 4$$
=
$$4$$
=

4

$$x_{3} = - 2 i$$
=
$$- 2 i$$
=

-2*i

$$y_{3} = 4 i$$
=
$$4 i$$
=

4*i

$$x_{4} = 2 i$$
=
$$2 i$$
=

2*i

$$y_{4} = - 4 i$$
=
$$- 4 i$$
=

-4*i

$$x_{5} = \frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(-1 + i\right)$$
=
$$\frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(-1 + i\right)$$
=

-3.68757472202402 + 3.68757472202402*i

$$y_{5} = \frac{2^{\frac{3}{4}} \sqrt{65}}{13} + \frac{2^{\frac{3}{4}} i}{13} \sqrt{65}$$
=
$$\frac{2^{\frac{3}{4}} \sqrt{65}}{13} \left(1 + i\right)$$
=

1.04300363683011 + 1.04300363683011*i

$$x_{6} = \frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(1 - i\right)$$
=
$$\frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(1 - i\right)$$
=

3.68757472202402 - 3.68757472202402*i

$$y_{6} = - \frac{2^{\frac{3}{4}} \sqrt{65}}{13} - \frac{2^{\frac{3}{4}} i}{13} \sqrt{65}$$
=
$$- \frac{2^{\frac{3}{4}} \sqrt{65}}{13} \left(1 + i\right)$$
=

-1.04300363683011 - 1.04300363683011*i

$$x_{7} = - \frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(1 + i\right)$$
=
$$- \frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(1 + i\right)$$
=

-3.68757472202402 - 3.68757472202402*i

$$y_{7} = \frac{2^{\frac{3}{4}} \sqrt{65}}{13} - \frac{2^{\frac{3}{4}} i}{13} \sqrt{65}$$
=
$$\frac{2^{\frac{3}{4}} \sqrt{65}}{13} \left(1 - i\right)$$
=

1.04300363683011 - 1.04300363683011*i

$$x_{8} = \frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(1 + i\right)$$
=
$$\frac{5 \sqrt[4]{2}}{13} \sqrt{65} \left(1 + i\right)$$
=

3.68757472202402 + 3.68757472202402*i

$$y_{8} = - \frac{2^{\frac{3}{4}} \sqrt{65}}{13} + \frac{2^{\frac{3}{4}} i}{13} \sqrt{65}$$
=
$$\frac{2^{\frac{3}{4}} \sqrt{65}}{13} \left(-1 + i\right)$$
=

-1.04300363683011 + 1.04300363683011*i

Численный ответ

x1 = -1.999999999999999
y1 = -4.000000000000001

x2 = 2.00000000000000
y2 = 4.00000000000000

x3 = -2.00000000000000
y3 = -4.00000000000000