(x+7)2=20

Take the square root of each side of the equation to set up the solution for x

(x+7)2⋅12=±20

Remove the perfect root factor x+7 under the radical to solve for x.

x+7=±20

Rewrite 20 as 22⋅5.

Factor 4 out of 20.

x+7=±4(5)

Rewrite 4 as 22.

x+7=±22⋅5

x+7=±22⋅5

Pull terms out from under the radical.

x+7=±25

x+7=±25

First, use the positive value of the ± to find the first solution.

x+7=25

Subtract 7 from both sides of the equation.

x=25-7

Next, use the negative value of the ± to find the second solution.

x+7=-25

Subtract 7 from both sides of the equation.

x=-25-7

The complete solution is the result of both the positive and negative portions of the solution.

x=25-7,-25-7

x=25-7,-25-7

The result can be shown in multiple forms.

Exact Form:

x=25-7,-25-7

Decimal Form:

x=-2.52786404…,-11.47213595…

Solve Using the Square Root Property (x+7)^2=20