Solve using the Square Root Property (x+7)^2=54

Math
(x+7)2=54
Take the square root of each side of the equation to set up the solution for x
(x+7)2⋅12=±54
Remove the perfect root factor x+7 under the radical to solve for x.
x+7=±54
Simplify the right side of the equation.
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Rewrite 54 as 32⋅6.
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Factor 9 out of 54.
x+7=±9(6)
Rewrite 9 as 32.
x+7=±32⋅6
x+7=±32⋅6
Pull terms out from under the radical.
x+7=±36
x+7=±36
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+7=36
Subtract 7 from both sides of the equation.
x=36-7
Next, use the negative value of the ± to find the second solution.
x+7=-36
Subtract 7 from both sides of the equation.
x=-36-7
The complete solution is the result of both the positive and negative portions of the solution.
x=36-7,-36-7
x=36-7,-36-7
The result can be shown in multiple forms.
Exact Form:
x=36-7,-36-7
Decimal Form:
x=0.34846922…,-14.34846922…
Solve using the Square Root Property (x+7)^2=54

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