x*y/2=98 x^2+y^2=784

Вы ввели

x*y     
--- = 98
 2      

$$\frac{x y}{2} = 98$$

 2    2      
x  + y  = 784

$$x^{2} + y^{2} = 784$$

Быстрый ответ

$$x_{1} = \frac{1}{14} \left(-28 - 14 \sqrt{- \sqrt{3} + 2}\right) \sqrt{- \sqrt{3} + 2} \left(- 14 \sqrt{- \sqrt{3} + 2} + 28\right)$$
=
$$- 14 \sqrt{- \sqrt{3} + 2} \left(\sqrt{3} + 2\right)$$
=

-27.0459231360939

$$y_{1} = - 14 \sqrt{- \sqrt{3} + 2}$$
=
$$- 14 \sqrt{- \sqrt{3} + 2}$$
=

-7.24693326287058

$$x_{2} = - \frac{1}{14} \left(-28 + 14 \sqrt{- \sqrt{3} + 2}\right) \sqrt{- \sqrt{3} + 2} \left(14 \sqrt{- \sqrt{3} + 2} + 28\right)$$
=
$$14 \sqrt{- \sqrt{3} + 2} \left(\sqrt{3} + 2\right)$$
=

27.0459231360939

$$y_{2} = 14 \sqrt{- \sqrt{3} + 2}$$
=
$$14 \sqrt{- \sqrt{3} + 2}$$
=

7.24693326287058

$$x_{3} = \frac{1}{14} \left(-28 - 14 \sqrt{\sqrt{3} + 2}\right) \sqrt{\sqrt{3} + 2} \left(- 14 \sqrt{\sqrt{3} + 2} + 28\right)$$
=
$$14 \left(-2 + \sqrt{3}\right) \sqrt{\sqrt{3} + 2}$$
=

-7.24693326287058

$$y_{3} = - 14 \sqrt{\sqrt{3} + 2}$$
=
$$- 14 \sqrt{\sqrt{3} + 2}$$
=

-27.0459231360939

$$x_{4} = - \frac{1}{14} \left(-28 + 14 \sqrt{\sqrt{3} + 2}\right) \sqrt{\sqrt{3} + 2} \left(14 \sqrt{\sqrt{3} + 2} + 28\right)$$
=
$$14 \left(- \sqrt{3} + 2\right) \sqrt{\sqrt{3} + 2}$$
=

7.24693326287058

$$y_{4} = 14 \sqrt{\sqrt{3} + 2}$$
=
$$14 \sqrt{\sqrt{3} + 2}$$
=

27.0459231360939

Численный ответ

x1 = -27.04592313609391
y1 = -7.246933262870581

x2 = 7.246933262870581
y2 = 27.04592313609391