Solve 2sqrt{5x}=y2

$$2 \sqrt{ 5x } = y2$$

Solve for x

$$x=\frac{y_{2}^{2}}{20}$$

$$y_{2}\geq 0$$

Steps for Solving Radical Equations

Divide both sides by 2.

$$\frac{2\sqrt{5x}}{2}=\frac{y_{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$\sqrt{5x}=\frac{y_{2}}{2}$$

Square both sides of the equation.

$$5x=\frac{y_{2}^{2}}{4}$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{y_{2}^{2}}{4\times 5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{y_{2}^{2}}{4\times 5}$$

Divide \frac{y_{2}^{2}}{4} by 5.

$$x=\frac{y_{2}^{2}}{20}$$

Solve for x (complex solution)

$$x=\frac{y_{2}^{2}}{20}$$

$$arg(y_{2})<\pi \text{ or }y_{2}=0$$

Solve for y_2 (complex solution)

$$y_{2}=2\sqrt{5x}$$

Solve for y_2

$$y_{2}=2\sqrt{5x}$$

$$x\geq 0$$