Solve y=-3sqrt{x}

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

Solve for x

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

$$y\leq 0$$

Steps for Solving Radical Equations

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

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

Divide both sides by -3.

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

Dividing by -3 undoes the multiplication by -3.

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

Divide y by -3.

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

Square both sides of the equation.

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

Solve for x (complex solution)

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

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

Solve for y

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

$$x\geq 0$$