Solve Using the Square Root Property (x-2)^2-9=0

Math
(x-2)2-9=0
Add 9 to both sides of the equation.
(x-2)2=9
Take the square root of each side of the equation to set up the solution for x
(x-2)2⋅12=±9
Remove the perfect root factor x-2 under the radical to solve for x.
x-2=±9
Simplify the right side of the equation.
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Rewrite 9 as 32.
x-2=±32
Pull terms out from under the radical, assuming positive real numbers.
x-2=±3
x-2=±3
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
x-2=3
Move all terms not containing x to the right side of the equation.
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Add 2 to both sides of the equation.
x=3+2
Add 3 and 2.
x=5
x=5
Next, use the negative value of the ± to find the second solution.
x-2=-3
Move all terms not containing x to the right side of the equation.
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Add 2 to both sides of the equation.
x=-3+2
Add -3 and 2.
x=-1
x=-1
The complete solution is the result of both the positive and negative portions of the solution.
x=5,-1
x=5,-1
Solve Using the Square Root Property (x-2)^2-9=0

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