Solve Zy=x^2

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

Solve for Z (complex solution)

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

Steps for Solving Linear Equation

The equation is in standard form.

$$yZ=x^{2}$$

Divide both sides by y.

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

Dividing by y undoes the multiplication by y.

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

Solve for Z

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

Steps for Solving Linear Equation

The equation is in standard form.

$$yZ=x^{2}$$

Divide both sides by y.

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

Dividing by y undoes the multiplication by y.

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

Solve for x (complex solution)

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

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

Solve for x

$$x=\sqrt{Zy}$$

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