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

(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
Simplify the right side of the equation.
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
The complete solution is the result of both the positive and negative portions of the solution.
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