Solve y=sqrt{10x}

$$y = \sqrt{ 10x }$$

Solve for x

$$x=\frac{y^{2}}{10}$$

$$y\geq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{10x}=y$$

Square both sides of the equation.

$$10x=y^{2}$$

Divide both sides by 10.

$$\frac{10x}{10}=\frac{y^{2}}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$x=\frac{y^{2}}{10}$$

Solve for x (complex solution)

$$x=\frac{y^{2}}{10}$$

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

Solve for y

$$y=\sqrt{10x}$$

$$x\geq 0$$