Solve sqrt{2x+77}+2=11

$$\sqrt { 2 x + 77 } + 2 = 11$$

Solve for x

$$x=2$$

Steps for Solving Radical Equations

Subtract 2 from both sides of the equation.

$$\sqrt{2x+77}+2-2=11-2$$

Subtracting 2 from itself leaves 0.

$$\sqrt{2x+77}=11-2$$

Subtract 2 from 11.

$$\sqrt{2x+77}=9$$

Square both sides of the equation.

$$2x+77=81$$

Subtract 77 from both sides of the equation.

$$2x+77-77=81-77$$

Subtracting 77 from itself leaves 0.

$$2x=81-77$$

Subtract 77 from 81.

$$2x=4$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 4 by 2.

$$x=2$$