Solve u=2sqrt{x}

$$u = 2 \sqrt{ x }$$

Solve for x

$$x=\frac{u^{2}}{4}$$

$$u\geq 0$$

Steps for Solving Radical Equations

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

$$2\sqrt{x}=u$$

Divide both sides by 2.

$$\frac{2\sqrt{x}}{2}=\frac{u}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$\sqrt{x}=\frac{u}{2}$$

Square both sides of the equation.

$$x=\frac{u^{2}}{4}$$

Solve for x (complex solution)

$$x=\frac{u^{2}}{4}$$

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

Solve for u

$$u=2\sqrt{x}$$

$$x\geq 0$$