Solve y=3sqrt{-x}

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

Solve for x

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

$$y\geq 0$$

Steps for Solving Radical Equations

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

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

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Square both sides of the equation.

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

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y^{2}}{-9}$$

Dividing by -1 undoes the multiplication by -1.

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

Divide \frac{y^{2}}{9} by -1.

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

Solve for x (complex solution)

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

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

Solve for y

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

$$x\leq 0$$