Solve sqrt{x+4}div2-1=3

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

Solve for x

$$x=60$$

Steps for Solving Radical Equations

Add 1 to both sides of the equation.

$$\frac{1}{2}\sqrt{x+4}-1-\left(-1\right)=3-\left(-1\right)$$

Subtracting -1 from itself leaves 0.

$$\frac{1}{2}\sqrt{x+4}=3-\left(-1\right)$$

Subtract -1 from 3.

$$\frac{1}{2}\sqrt{x+4}=4$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}\sqrt{x+4}}{\frac{1}{2}}=\frac{4}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$\sqrt{x+4}=\frac{4}{\frac{1}{2}}$$

Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.

$$\sqrt{x+4}=8$$

Square both sides of the equation.

$$x+4=64$$

Subtract 4 from both sides of the equation.

$$x+4-4=64-4$$

Subtracting 4 from itself leaves 0.

$$x=64-4$$

Subtract 4 from 64.

$$x=60$$