Løs frac{sqrt{127b^3}}{2x}=192

$$\frac{ \sqrt{ 127 { b }^{ 3 } } }{ 2x } = 192$$

Løs for b (complex solution)

$$\left\{\begin{matrix}b=\frac{16\sqrt[3]{36}\times \left(127x\right)^{\frac{2}{3}}}{127}\text{, }&x\neq 0\\b=\frac{16\sqrt[3]{36}e^{\frac{2\pi i}{3}}\times \left(127x\right)^{\frac{2}{3}}}{127}\text{, }&x\neq 0\text{ and }|arg(\left(e^{\frac{2\pi i}{3}}x^{\frac{2}{3}}\right)^{\frac{3}{2}})-arg(x)|<\pi \\b=\frac{16\sqrt[3]{36}e^{\frac{4\pi i}{3}}\times \left(127x\right)^{\frac{2}{3}}}{127}\text{, }&x\neq 0\text{ and }|arg(\left(e^{\frac{4\pi i}{3}}x^{\frac{2}{3}}\right)^{\frac{3}{2}})-arg(x)|<\pi \end{matrix}\right,$$

Løs for x (complex solution)

$$x=\frac{\sqrt{127}b^{\frac{3}{2}}}{384}$$

$$b\neq 0$$

Løs for b

$$b=\frac{16\sqrt[3]{36}\times \left(127x\right)^{\frac{2}{3}}}{127}$$

$$x>0$$

Løs for x

$$x=\frac{\sqrt{127}b^{\frac{3}{2}}}{384}$$

$$b>0$$