Solve Using the Square Root Property (x+8)^2-54=0

Math
(x+8)2-54=0
Add 54 to both sides of the equation.
(x+8)2=54
Take the square root of each side of the equation to set up the solution for x
(x+8)2⋅12=±54
Remove the perfect root factor x+8 under the radical to solve for x.
x+8=±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+8=±9(6)
Rewrite 9 as 32.
x+8=±32⋅6
x+8=±32⋅6
Pull terms out from under the radical.
x+8=±36
x+8=±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+8=36
Subtract 8 from both sides of the equation.
x=36-8
Next, use the negative value of the ± to find the second solution.
x+8=-36
Subtract 8 from both sides of the equation.
x=-36-8
The complete solution is the result of both the positive and negative portions of the solution.
x=36-8,-36-8
x=36-8,-36-8
The result can be shown in multiple forms.
Exact Form:
x=36-8,-36-8
Decimal Form:
x=-0.65153077…,-15.34846922…
Solve Using the Square Root Property (x+8)^2-54=0

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