Solve sqrt{x}-a=0

$$\sqrt { x } - a = 0$$

Solve for x

$$x=a^{2}$$

$$a\geq 0$$

Steps for Solving Radical Equations

Subtract -a from both sides of the equation.

$$\sqrt{x}-a-\left(-a\right)=-\left(-a\right)$$

Subtracting -a from itself leaves 0.

$$\sqrt{x}=-\left(-a\right)$$

Subtract -a from 0.

$$\sqrt{x}=a$$

Square both sides of the equation.

$$x=a^{2}$$

Solve for a (complex solution)

$$a=\sqrt{x}$$

Solve for x (complex solution)

$$x=a^{2}$$

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

Solve for a

$$a=\sqrt{x}$$

$$x\geq 0$$