Solve 4sqrt{x-3}=0.5

$$4 \sqrt{ x-3 } = 0.5$$

Solve for x

$$x=3.015625$$

Steps for Solving Radical Equations

Divide both sides by 4.

$$\frac{4\sqrt{x-3}}{4}=\frac{\frac{1}{2}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$\sqrt{x-3}=\frac{\frac{1}{2}}{4}$$

Divide \frac{1}{2} by 4.

$$\sqrt{x-3}=\frac{1}{8}$$

Square both sides of the equation.

$$x-3=\frac{1}{64}$$

Add 3 to both sides of the equation.

$$x-3-\left(-3\right)=\frac{1}{64}-\left(-3\right)$$

Subtracting -3 from itself leaves 0.

$$x=\frac{1}{64}-\left(-3\right)$$

Subtract -3 from \frac{1}{64}.

$$x=\frac{193}{64}$$