Solve y=-3+sqrt{x}

$$y = - 3 + \sqrt { x }$$

Solve for x

$$x=\left(y+3\right)^{2}$$

$$y+3\geq 0$$

Steps for Solving Radical Equations

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

$$-3+\sqrt{x}=y$$

Add 3 to both sides.

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

Square both sides of the equation.

$$x=\left(y+3\right)^{2}$$

Solve for x (complex solution)

$$x=\left(y+3\right)^{2}$$

$$y=-3\text{ or }arg(y+3)<\pi$$

Solve for y (complex solution)

$$y=\sqrt{x}-3$$

Solve for y

$$y=\sqrt{x}-3$$

$$x\geq 0$$