y^2-x^2=209 2*y^2-x*y=510

Вы ввели

 2    2      
y  - x  = 209

$$- x^{2} + y^{2} = 209$$

   2            
2*y  - x*y = 510

$$- x y + 2 y^{2} = 510$$

или

$$\begin{cases}- x^{2} + y^{2} = 209\\- x y + 2 y^{2} = 510\end{cases}$$

Быстрый ответ

$$x_{1} = -4$$
=
$$-4$$
=

-4

$$y_{1} = 15$$
=
$$15$$
=

15

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

4

$$y_{2} = -15$$
=
$$-15$$
=

-15

$$x_{3} = - \frac{23 \sqrt{3}}{3}$$
=
$$- \frac{23 \sqrt{3}}{3}$$
=

-13.2790561913614

$$y_{3} = - \frac{34 \sqrt{3}}{3}$$
=
$$- \frac{34 \sqrt{3}}{3}$$
=

-19.6299091524473

$$x_{4} = \frac{23 \sqrt{3}}{3}$$
=
$$\frac{23 \sqrt{3}}{3}$$
=

13.2790561913614

$$y_{4} = \frac{34 \sqrt{3}}{3}$$
=
$$\frac{34 \sqrt{3}}{3}$$
=

19.6299091524473

Численный ответ

y1 = -19.62990915244728
x1 = -13.27905619136139

y2 = -15.0
x2 = 4.0

y3 = 19.62990915244728
x3 = 13.27905619136139

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