# Solve Using the Square Root Property (x-5)^2-9=0 (x-5)2-9=0
Add 9 to both sides of the equation.
(x-5)2=9
Take the square root of each side of the equation to set up the solution for x
(x-5)2⋅12=±9
Remove the perfect root factor x-5 under the radical to solve for x.
x-5=±9
Simplify the right side of the equation.
Rewrite 9 as 32.
x-5=±32
Pull terms out from under the radical, assuming positive real numbers.
x-5=±3
x-5=±3
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-5=3
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
x=3+5
x=8
x=8
Next, use the negative value of the ± to find the second solution.
x-5=-3
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
x=-3+5
x=2
x=2
The complete solution is the result of both the positive and negative portions of the solution.
x=8,2
x=8,2
Solve Using the Square Root Property (x-5)^2-9=0     