Решете y=frac{xsqrt{x}5x}{15}

$$y = \frac{ x \sqrt{ x } 5x }{ 15 }$$

Решаване за x (complex solution)

$$\left\{\begin{matrix}x=\left(3y\right)^{\frac{2}{5}}\text{, }&|arg(\left(y^{\frac{2}{5}}\right)^{\frac{5}{2}})-arg(y)|<\pi \\x=e^{\frac{2\pi i}{5}}\times \left(3y\right)^{\frac{2}{5}}\text{, }&|arg(\left(e^{\frac{2\pi i}{5}}y^{\frac{2}{5}}\right)^{\frac{5}{2}})-arg(y)|<\pi \\x=e^{\frac{4\pi i}{5}}\times \left(3y\right)^{\frac{2}{5}}\text{, }&|arg(\left(e^{\frac{4\pi i}{5}}y^{\frac{2}{5}}\right)^{\frac{5}{2}})-arg(y)|<\pi \\x=e^{\frac{6\pi i}{5}}\times \left(3y\right)^{\frac{2}{5}}\text{, }&|arg(\left(e^{\frac{6\pi i}{5}}y^{\frac{2}{5}}\right)^{\frac{5}{2}})-arg(y)|<\pi \\x=e^{\frac{8\pi i}{5}}\times \left(3y\right)^{\frac{2}{5}}\text{, }&|arg(\left(e^{\frac{8\pi i}{5}}y^{\frac{2}{5}}\right)^{\frac{5}{2}})-arg(y)|<\pi \end{matrix}\right,$$

Решаване за y (complex solution)

$$y=\frac{x^{\frac{5}{2}}}{3}$$

Решаване за x

$$x=\left(3y\right)^{\frac{2}{5}}$$

$$y\geq 0$$

Решаване за y

$$y=\frac{x^{\frac{5}{2}}}{3}$$

$$x\geq 0$$