Solve sqrt{x+3}=a

$$\sqrt { x + 3 } = a$$

Solve for x

$$x=a^{2}-3$$

$$a\geq 0$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$x+3=a^{2}$$

Subtract 3 from both sides of the equation.

$$x+3-3=a^{2}-3$$

Subtracting 3 from itself leaves 0.

$$x=a^{2}-3$$

Solve for a (complex solution)

$$a=\sqrt{x+3}$$

Solve for x (complex solution)

$$x=a^{2}-3$$

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

Solve for a

$$a=\sqrt{x+3}$$

$$x\geq -3$$