Solve (x+65)^2=88

$$( x + 65 ) ^ { 2 } = 88$$

Solve for x

$$x=2\sqrt{22}-65\approx -55.61916848$$

$$x=-2\sqrt{22}-65\approx -74.38083152$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x+65=2\sqrt{22} x+65=-2\sqrt{22}$$

Subtract 65 from both sides of the equation.

$$x+65-65=2\sqrt{22}-65 x+65-65=-2\sqrt{22}-65$$

Subtracting 65 from itself leaves 0.

$$x=2\sqrt{22}-65 x=-2\sqrt{22}-65$$