Zgjidh {x}^frac{2{3}}+{y}^frac{2{3}}=1

$${ x }^{ \frac{ 2 }{ 3 } } + { y }^{ \frac{ 2 }{ 3 } } =1$$

Gjej x (complex solution)

$$x=\left(1-y^{\frac{2}{3}}\right)^{3}$$

$$y=1\text{ or }arg(1-y^{\frac{2}{3}})<\frac{2\pi }{3}$$

Gjej y (complex solution)

$$y=\left(1-x^{\frac{2}{3}}\right)^{3}$$

$$x=1\text{ or }arg(1-x^{\frac{2}{3}})<\frac{2\pi }{3}$$

Gjej x

$$x=\left(1-y^{\frac{2}{3}}\right)^{\frac{3}{2}}$$

$$x=-\left(1-y^{\frac{2}{3}}\right)^{\frac{3}{2}}\text{, }|y|\leq 1$$

Gjej y

$$y=\left(1-x^{\frac{2}{3}}\right)^{\frac{3}{2}}$$

$$y=-\left(1-x^{\frac{2}{3}}\right)^{\frac{3}{2}}\text{, }|x|\leq 1$$