(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

Rewrite 54 as 32⋅6.

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

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