(p+7)2=5

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

(p+7)2⋅12=±5

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

p+7=±5

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

p+7=5

Subtract 7 from both sides of the equation.

p=5-7

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

p+7=-5

Subtract 7 from both sides of the equation.

p=-5-7

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

p=5-7,-5-7

p=5-7,-5-7

The result can be shown in multiple forms.

Exact Form:

p=5-7,-5-7

Decimal Form:

p=-4.76393202…,-9.23606797…

Solve Using the Square Root Property (p+7)^2=5