Solve x^4=4y2

$${ x }^{ 4 } = 4y2$$

Solve for y_2

$$y_{2}=\frac{x^{4}}{4}$$

Steps for Solving Linear Equation

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

$$4y_{2}=x^{4}$$

Divide both sides by 4.

$$\frac{4y_{2}}{4}=\frac{x^{4}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y_{2}=\frac{x^{4}}{4}$$

Solve for x (complex solution)

$$x=\sqrt{2}i\sqrt[4]{y_{2}}$$

$$x=\sqrt{2}\sqrt[4]{y_{2}}$$

$$x=-\sqrt{2}\sqrt[4]{y_{2}}$$

$$x=-\sqrt{2}i\sqrt[4]{y_{2}}$$

Solve for x

$$x=\sqrt{2}\sqrt[4]{y_{2}}$$

$$x=-\sqrt{2}\sqrt[4]{y_{2}}\text{, }y_{2}\geq 0$$