Розв'яжіть y=x^2sqrt{x}

$$y = x ^ { 2 } \sqrt { x }$$

Знайдіть x (complex solution)

$$\left\{\begin{matrix}\\x=y^{\frac{2}{5}}\text{, }&\text{unconditionally}\\x=e^{\frac{6\pi i}{5}}y^{\frac{2}{5}}\text{, }&arg(e^{\frac{8\pi i}{5}}\sqrt[5]{y})<\pi \text{ or }y=0\\x=e^{\frac{2\pi i}{5}}y^{\frac{2}{5}}\text{, }&arg(e^{\frac{\pi i}{5}}\sqrt[5]{y})\geq \pi \text{ or }y=0\\x=e^{\frac{8\pi i}{5}}y^{\frac{2}{5}}\text{, }&arg(e^{\frac{4\pi i}{5}}\sqrt[5]{y})<\pi \text{ or }y=0\\x=e^{\frac{4\pi i}{5}}y^{\frac{2}{5}}\text{, }&arg(e^{\frac{2\pi i}{5}}\sqrt[5]{y})<\pi \text{ or }y=0\end{matrix}\right,$$

Знайдіть y (complex solution)

$$y=x^{\frac{5}{2}}$$

Знайдіть x

$$x=y^{\frac{2}{5}}$$

$$y\geq 0$$

Знайдіть y

$$y=x^{\frac{5}{2}}$$

$$x\geq 0$$