Solve y=esqrt{co}

$$y = e \sqrt { c o }$$

Solve for c

$$\left\{\begin{matrix}c=\frac{\left(\frac{y}{e}\right)^{2}}{o}\text{, }&y\geq 0\text{ and }o\neq 0\\c\in \mathrm{R}\text{, }&y=0\text{ and }o=0\end{matrix}\right.$$

Steps for Solving Radical Equations

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

$$e\sqrt{co}=y$$

Divide both sides by e.

$$\frac{e\sqrt{oc}}{e}=\frac{y}{e}$$

Dividing by e undoes the multiplication by e.

$$\sqrt{oc}=\frac{y}{e}$$

Square both sides of the equation.

$$oc=\frac{y^{2}}{e^{2}}$$

Divide both sides by o.

$$\frac{oc}{o}=\frac{y^{2}}{e^{2}o}$$

Dividing by o undoes the multiplication by o.

$$c=\frac{y^{2}}{e^{2}o}$$

Solve for o

$$\left\{\begin{matrix}o=\frac{\left(\frac{y}{e}\right)^{2}}{c}\text{, }&y\geq 0\text{ and }c\neq 0\\o\in \mathrm{R}\text{, }&y=0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Radical Equations

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

$$e\sqrt{co}=y$$

Divide both sides by e.

$$\frac{e\sqrt{co}}{e}=\frac{y}{e}$$

Dividing by e undoes the multiplication by e.

$$\sqrt{co}=\frac{y}{e}$$

Square both sides of the equation.

$$co=\frac{y^{2}}{e^{2}}$$

Divide both sides by c.

$$\frac{co}{c}=\frac{y^{2}}{e^{2}c}$$

Dividing by c undoes the multiplication by c.

$$o=\frac{y^{2}}{e^{2}c}$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{\left(\frac{y}{e}\right)^{2}}{o}\text{, }&o\neq 0\text{ and }\left(y=0\text{ or }|\frac{arg(y^{2})}{2}-arg(y)|<\pi \right)\\c\in \mathrm{C}\text{, }&y=0\text{ and }o=0\end{matrix}\right.$$

Solve for o (complex solution)

$$\left\{\begin{matrix}o=\frac{\left(\frac{y}{e}\right)^{2}}{c}\text{, }&c\neq 0\text{ and }\left(y=0\text{ or }|\frac{arg(y^{2})}{2}-arg(y)|<\pi \right)\\o\in \mathrm{C}\text{, }&y=0\text{ and }c=0\end{matrix}\right.$$