Solve pV=N^2

$$p V = N ^ { 2 }$$

Solve for V (complex solution)

$$\left\{\begin{matrix}V=\frac{N^{2}}{p}\text{, }&p\neq 0\\V\in \mathrm{C}\text{, }&N=0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$pV=N^{2}$$

Divide both sides by p.

$$\frac{pV}{p}=\frac{N^{2}}{p}$$

Dividing by p undoes the multiplication by p.

$$V=\frac{N^{2}}{p}$$

Solve for V

$$\left\{\begin{matrix}V=\frac{N^{2}}{p}\text{, }&p\neq 0\\V\in \mathrm{R}\text{, }&N=0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$pV=N^{2}$$

Divide both sides by p.

$$\frac{pV}{p}=\frac{N^{2}}{p}$$

Dividing by p undoes the multiplication by p.

$$V=\frac{N^{2}}{p}$$

Solve for N (complex solution)

$$N=-\sqrt{V}\sqrt{p}$$

$$N=\sqrt{V}\sqrt{p}$$

Solve for N

$$N=\sqrt{Vp}$$

$$N=-\sqrt{Vp}\text{, }\left(V\geq 0\text{ and }p\geq 0\right)\text{ or }\left(p\leq 0\text{ and }V\leq 0\right)$$