Solve f(x)^2=3

$$f ( x ) ^ { 2 } = 3$$

Solve for f

$$f=\frac{3}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$x^{2}f=3$$

Divide both sides by x^{2}.

$$\frac{x^{2}f}{x^{2}}=\frac{3}{x^{2}}$$

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

$$f=\frac{3}{x^{2}}$$

Solve for x (complex solution)

$$x=-\sqrt{3}f^{-\frac{1}{2}}$$

$$x=\sqrt{3}f^{-\frac{1}{2}}\text{, }f\neq 0$$

Solve for x

$$x=\sqrt{\frac{3}{f}}$$

$$x=-\sqrt{\frac{3}{f}}\text{, }f>0$$