Resolver x^4+y^4+x^2y^2=91

$${ x }^{ 4 } + { y }^{ 4 } + { x }^{ 2 } { y }^{ 2 } =91$$

Ebatzi: x (complex solution)

$$x=\frac{\sqrt{-2\sqrt{364-3y^{4}}-2y^{2}}}{2}$$

$$x=-\frac{\sqrt{-2\sqrt{364-3y^{4}}-2y^{2}}}{2}$$

$$x=-\frac{\sqrt{2\sqrt{364-3y^{4}}-2y^{2}}}{2}$$

$$x=\frac{\sqrt{2\sqrt{364-3y^{4}}-2y^{2}}}{2}$$

Ebatzi: y (complex solution)

$$y=\frac{\sqrt{-2\sqrt{364-3x^{4}}-2x^{2}}}{2}$$

$$y=-\frac{\sqrt{-2\sqrt{364-3x^{4}}-2x^{2}}}{2}$$

$$y=-\frac{\sqrt{2\sqrt{364-3x^{4}}-2x^{2}}}{2}$$

$$y=\frac{\sqrt{2\sqrt{364-3x^{4}}-2x^{2}}}{2}$$

Ebatzi: x

$$x=-\frac{\sqrt{2\left(\sqrt{364-3y^{4}}-y^{2}\right)}}{2}$$

$$x=\frac{\sqrt{2\left(\sqrt{364-3y^{4}}-y^{2}\right)}}{2}\text{, }|y|\leq \sqrt[4]{91}$$

Ebatzi: y

$$y=-\frac{\sqrt{2\left(\sqrt{364-3x^{4}}-x^{2}\right)}}{2}$$

$$y=\frac{\sqrt{2\left(\sqrt{364-3x^{4}}-x^{2}\right)}}{2}\text{, }|x|\leq \sqrt[4]{91}$$