Rozwiąż y=xyxxxxxxyy

$$y=xyxxxxxxyy$$

Rozwiąż względem x (complex solution)

$$\left\{\begin{matrix}x\in e^{\frac{2\pi i}{7}}y^{-\frac{2}{7}},y^{-\frac{2}{7}},e^{\frac{4\pi i}{7}}y^{-\frac{2}{7}},e^{\frac{6\pi i}{7}}y^{-\frac{2}{7}},e^{\frac{8\pi i}{7}}y^{-\frac{2}{7}},e^{\frac{10\pi i}{7}}y^{-\frac{2}{7}},e^{\frac{12\pi i}{7}}y^{-\frac{2}{7}}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right,$$

Rozwiąż względem y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=-x^{-\frac{7}{2}}\text{; }y=x^{-\frac{7}{2}}\text{, }&x\neq 0\end{matrix}\right,$$

Rozwiąż względem x

$$\left\{\begin{matrix}x=\frac{1}{y^{\frac{2}{7}}}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right,$$

Rozwiąż względem y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=\frac{1}{x^{\frac{7}{2}}}\text{; }y=-\frac{1}{x^{\frac{7}{2}}}\text{, }&x>0\end{matrix}\right,$$