Solve y=frac{sqrt{x}}{5}

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

Solve for x

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

$$y\geq 0$$

Steps for Solving Radical Equations

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

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

Multiply both sides by 5.

$$\frac{\frac{1}{5}\sqrt{x}}{\frac{1}{5}}=\frac{y}{\frac{1}{5}}$$

Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.

$$\sqrt{x}=\frac{y}{\frac{1}{5}}$$

Divide y by \frac{1}{5} by multiplying y by the reciprocal of \frac{1}{5}.

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

Square both sides of the equation.

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

Solve for x (complex solution)

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

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

Solve for y

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

$$x\geq 0$$