Solve a^2=b*c

$$a ^ { 2 } = b \times c$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{a^{2}}{c}\text{, }&c\neq 0\\b\in \mathrm{C}\text{, }&a=0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$bc=a^{2}$$

The equation is in standard form.

$$cb=a^{2}$$

Divide both sides by c.

$$\frac{cb}{c}=\frac{a^{2}}{c}$$

Dividing by c undoes the multiplication by c.

$$b=\frac{a^{2}}{c}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{a^{2}}{c}\text{, }&c\neq 0\\b\in \mathrm{R}\text{, }&a=0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$bc=a^{2}$$

The equation is in standard form.

$$cb=a^{2}$$

Divide both sides by c.

$$\frac{cb}{c}=\frac{a^{2}}{c}$$

Dividing by c undoes the multiplication by c.

$$b=\frac{a^{2}}{c}$$

Solve for a (complex solution)

$$a=-\sqrt{b}\sqrt{c}$$

$$a=\sqrt{b}\sqrt{c}$$

Solve for a

$$a=\sqrt{bc}$$

$$a=-\sqrt{bc}\text{, }\left(c\geq 0\text{ and }b\geq 0\right)\text{ or }\left(b\leq 0\text{ and }c\leq 0\right)$$