Sr Examen
xy=3; x^2+y^2=8
Solución
Respuesta rápida
$$x_{1} = - \frac{\left(-4 - \sqrt{7}\right) \sqrt{4 - \sqrt{7}}}{3}$$
=
$$\frac{\sqrt{4 - \sqrt{7}} \left(\sqrt{7} + 4\right)}{3}$$
=
$$y_{1} = \sqrt{4 - \sqrt{7}}$$
=
$$\sqrt{4 - \sqrt{7}}$$
=
=
$$\frac{\sqrt{4 - \sqrt{7}} \left(\sqrt{7} + 4\right)}{3}$$
=
2.57793547457352
$$y_{1} = \sqrt{4 - \sqrt{7}}$$
=
$$\sqrt{4 - \sqrt{7}}$$
=
1.16372191220042
$$x_{2} = \frac{\left(-4 - \sqrt{7}\right) \sqrt{4 - \sqrt{7}}}{3}$$
=
$$- \frac{\sqrt{4 - \sqrt{7}} \left(\sqrt{7} + 4\right)}{3}$$
=
$$y_{2} = - \sqrt{4 - \sqrt{7}}$$
=
$$- \sqrt{4 - \sqrt{7}}$$
=
=
$$- \frac{\sqrt{4 - \sqrt{7}} \left(\sqrt{7} + 4\right)}{3}$$
=
-2.57793547457352
$$y_{2} = - \sqrt{4 - \sqrt{7}}$$
=
$$- \sqrt{4 - \sqrt{7}}$$
=
-1.16372191220042
$$x_{3} = - \frac{\left(-4 + \sqrt{7}\right) \sqrt{\sqrt{7} + 4}}{3}$$
=
$$\frac{\left(4 - \sqrt{7}\right) \sqrt{\sqrt{7} + 4}}{3}$$
=
$$y_{3} = \sqrt{\sqrt{7} + 4}$$
=
$$\sqrt{\sqrt{7} + 4}$$
=
=
$$\frac{\left(4 - \sqrt{7}\right) \sqrt{\sqrt{7} + 4}}{3}$$
=
1.16372191220042
$$y_{3} = \sqrt{\sqrt{7} + 4}$$
=
$$\sqrt{\sqrt{7} + 4}$$
=
2.57793547457352
$$x_{4} = \frac{\left(-4 + \sqrt{7}\right) \sqrt{\sqrt{7} + 4}}{3}$$
=
$$\frac{\left(-4 + \sqrt{7}\right) \sqrt{\sqrt{7} + 4}}{3}$$
=
$$y_{4} = - \sqrt{\sqrt{7} + 4}$$
=
$$- \sqrt{\sqrt{7} + 4}$$
=
=
$$\frac{\left(-4 + \sqrt{7}\right) \sqrt{\sqrt{7} + 4}}{3}$$
=
-1.16372191220042
$$y_{4} = - \sqrt{\sqrt{7} + 4}$$
=
$$- \sqrt{\sqrt{7} + 4}$$
=
-2.57793547457352
Respuesta numérica
[src]
x1 = 1.163721912200423 y1 = 2.577935474573518
x2 = -2.577935474573518 y2 = -1.163721912200423
x2 = -2.577935474573518 y2 = -1.163721912200423