# Solve using the Square Root Property (x+2)^2=100

(x+2)2=100
Take the square root of each side of the equation to set up the solution for x
(x+2)2⋅12=±100
Remove the perfect root factor x+2 under the radical to solve for x.
x+2=±100
Simplify the right side of the equation.
Rewrite 100 as 102.
x+2=±102
Pull terms out from under the radical, assuming positive real numbers.
x+2=±10
x+2=±10
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
x+2=10
Move all terms not containing x to the right side of the equation.
Subtract 2 from both sides of the equation.
x=10-2
Subtract 2 from 10.
x=8
x=8
Next, use the negative value of the ± to find the second solution.
x+2=-10
Move all terms not containing x to the right side of the equation.
Subtract 2 from both sides of the equation.
x=-10-2
Subtract 2 from -10.
x=-12
x=-12
The complete solution is the result of both the positive and negative portions of the solution.
x=8,-12
x=8,-12
Solve using the Square Root Property (x+2)^2=100