Solve y=-2.5sqrt{4x}

$$y = - 2.5 \sqrt { 4 x }$$

Solve for x

$$x=\frac{y^{2}}{25}$$

$$y\leq 0$$

Steps for Solving Radical Equations

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

$$-2.5\sqrt{4x}=y$$

Divide both sides of the equation by -2.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-2.5\sqrt{4x}}{-2.5}=\frac{y}{-2.5}$$

Dividing by -2.5 undoes the multiplication by -2.5.

$$\sqrt{4x}=\frac{y}{-2.5}$$

Divide y by -2.5 by multiplying y by the reciprocal of -2.5.

$$\sqrt{4x}=-\frac{2y}{5}$$

Square both sides of the equation.

$$4x=\frac{4y^{2}}{25}$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{4y^{2}}{4\times 25}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{4y^{2}}{4\times 25}$$

Divide \frac{4y^{2}}{25} by 4.

$$x=\frac{y^{2}}{25}$$

Solve for x (complex solution)

$$x=\frac{y^{2}}{25}$$

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

Solve for y (complex solution)

$$y=-5\sqrt{x}$$

Solve for y

$$y=-5\sqrt{x}$$

$$x\geq 0$$