(r+6)2=15

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

(r+6)2⋅12=±15

Remove the perfect root factor r+6 under the radical to solve for r.

r+6=±15

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

r+6=15

Subtract 6 from both sides of the equation.

r=15-6

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

r+6=-15

Subtract 6 from both sides of the equation.

r=-15-6

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

r=15-6,-15-6

r=15-6,-15-6

The result can be shown in multiple forms.

Exact Form:

r=15-6,-15-6

Decimal Form:

r=-2.12701665…,-9.87298334…

Solve using the Square Root Property (r+6)^2=15