Solve y=3sqrt{x+2}

$$y = 3 \sqrt { x + 2 }$$

Solve for x

$$x=\frac{y^{2}-18}{9}$$

$$y\geq 0$$

Steps for Solving Radical Equations

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

$$3\sqrt{x+2}=y$$

Divide both sides by 3.

$$\frac{3\sqrt{x+2}}{3}=\frac{y}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\sqrt{x+2}=\frac{y}{3}$$

Square both sides of the equation.

$$x+2=\frac{y^{2}}{9}$$

Subtract 2 from both sides of the equation.

$$x+2-2=\frac{y^{2}}{9}-2$$

Subtracting 2 from itself leaves 0.

$$x=\frac{y^{2}}{9}-2$$

Solve for x (complex solution)

$$x=\frac{y^{2}-18}{9}$$

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

Solve for y

$$y=3\sqrt{x+2}$$

$$x\geq -2$$