Solve y=.25sqrt{x}+0

$$y = .25 \sqrt{ x } +0$$

Solve for x

$$x=16y^{2}$$

$$y\geq 0$$

Steps for Solving Radical Equations

Anything plus zero gives itself.

$$y=0.25\sqrt{x}$$

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

$$0.25\sqrt{x}=y$$

Multiply both sides by 4.

$$\frac{0.25\sqrt{x}}{0.25}=\frac{y}{0.25}$$

Dividing by 0.25 undoes the multiplication by 0.25.

$$\sqrt{x}=\frac{y}{0.25}$$

Divide y by 0.25 by multiplying y by the reciprocal of 0.25.

$$\sqrt{x}=4y$$

Square both sides of the equation.

$$x=16y^{2}$$

Solve for x (complex solution)

$$x=16y^{2}$$

$$arg(y)<\pi \text{ or }y=0$$

Solve for y (complex solution)

$$y=\frac{\sqrt{x}}{4}$$

Solve for y

$$y=\frac{\sqrt{x}}{4}$$

$$x\geq 0$$