Solve using the Square Root Property (x-3)^2=15

Math
(x-3)2=15
Take the square root of each side of the equation to set up the solution for x
(x-3)2⋅12=±15
Remove the perfect root factor x-3 under the radical to solve for x.
x-3=±15
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-3=15
Add 3 to both sides of the equation.
x=15+3
Next, use the negative value of the ± to find the second solution.
x-3=-15
Add 3 to both sides of the equation.
x=-15+3
The complete solution is the result of both the positive and negative portions of the solution.
x=15+3,-15+3
x=15+3,-15+3
The result can be shown in multiple forms.
Exact Form:
x=15+3,-15+3
Decimal Form:
x=6.87298334…,-0.87298334…
Solve using the Square Root Property (x-3)^2=15

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