Solve f^2=1/2x

$$f ^ { 2 } = \frac { 1 } { 2 } x$$

Solve for x

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

Steps for Solving Linear Equation

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

$$\frac{1}{2}x=f^{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{f^{2}}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{f^{2}}{\frac{1}{2}}$$

Divide f^{2} by \frac{1}{2} by multiplying f^{2} by the reciprocal of \frac{1}{2}.

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

Solve for f (complex solution)

$$f=-\frac{\sqrt{2x}}{2}$$

$$f=\frac{\sqrt{2x}}{2}$$

Solve for f

$$f=\frac{\sqrt{2x}}{2}$$

$$f=-\frac{\sqrt{2x}}{2}\text{, }x\geq 0$$