Solve x^2=yz

$$x ^ { 2 } = y z$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=\frac{x^{2}}{z}\text{, }&z\neq 0\\y\in \mathrm{C}\text{, }&x=0\text{ and }z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$yz=x^{2}$$

The equation is in standard form.

$$zy=x^{2}$$

Divide both sides by z.

$$\frac{zy}{z}=\frac{x^{2}}{z}$$

Dividing by z undoes the multiplication by z.

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

Solve for y

$$\left\{\begin{matrix}y=\frac{x^{2}}{z}\text{, }&z\neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$yz=x^{2}$$

The equation is in standard form.

$$zy=x^{2}$$

Divide both sides by z.

$$\frac{zy}{z}=\frac{x^{2}}{z}$$

Dividing by z undoes the multiplication by z.

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

Solve for x (complex solution)

$$x=-\sqrt{y}\sqrt{z}$$

$$x=\sqrt{y}\sqrt{z}$$

Solve for x

$$x=\sqrt{yz}$$

$$x=-\sqrt{yz}\text{, }\left(z\geq 0\text{ and }y\geq 0\right)\text{ or }\left(y\leq 0\text{ and }z\leq 0\right)$$