Solve AC^2=113k^2

$$A C ^ { 2 } = 113 k ^ { 2 }$$

Solve for A

$$\left\{\begin{matrix}A=113\times \left(\frac{k}{C}\right)^{2}\text{, }&C\neq 0\\A\in \mathrm{R}\text{, }&k=0\text{ and }C=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$C^{2}A=113k^{2}$$

Divide both sides by C^{2}.

$$\frac{C^{2}A}{C^{2}}=\frac{113k^{2}}{C^{2}}$$

Dividing by C^{2} undoes the multiplication by C^{2}.

$$A=\frac{113k^{2}}{C^{2}}$$

Solve for C

$$\left\{\begin{matrix}C=\sqrt{\frac{113}{A}}k\text{; }C=-\sqrt{\frac{113}{A}}k\text{, }&A>0\\C=0\text{, }&k=0\text{ and }A\neq 0\\C\in \mathrm{R}\text{, }&k=0\text{ and }A=0\end{matrix}\right.$$