Solve f(n)^2=n

$$f ( n ) ^ { 2 } = n$$

Solve for f

$$\left\{\begin{matrix}f=\frac{1}{n}\text{, }&n\neq 0\\f\in \mathrm{R}\text{, }&n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$n^{2}f=n$$

Divide both sides by n^{2}.

$$\frac{n^{2}f}{n^{2}}=\frac{n}{n^{2}}$$

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

$$f=\frac{n}{n^{2}}$$

Divide n by n^{2}.

$$f=\frac{1}{n}$$

Solve for n

$$\left\{\begin{matrix}\\n=0\text{, }&\text{unconditionally}\\n=\frac{1}{f}\text{, }&f\neq 0\end{matrix}\right.$$