Solve x^4=h/16y

$$x ^ { 4 } = \frac { h } { 16 y }$$

Solve for h

$$h=16yx^{4}$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by 16y.

$$16yx^{4}=h$$

Swap sides so that all variable terms are on the left hand side.

$$h=16yx^{4}$$

Solve for x (complex solution)

$$x=\frac{iy^{-\frac{1}{4}}\sqrt[4]{h}}{2}$$

$$x=\frac{y^{-\frac{1}{4}}\sqrt[4]{h}}{2}$$

$$x=-\frac{y^{-\frac{1}{4}}\sqrt[4]{h}}{2}$$

$$x=-\frac{iy^{-\frac{1}{4}}\sqrt[4]{h}}{2}\text{, }y\neq 0$$

Solve for x

$$x=\frac{\sqrt[4]{\frac{h}{y}}}{2}$$

$$x=-\frac{\sqrt[4]{\frac{h}{y}}}{2}\text{, }\left(h\geq 0\text{ and }y>0\right)\text{ or }\left(h\leq 0\text{ and }y<0\right)$$