(b+7)2=5

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

(b+7)2⋅12=±5

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

b+7=±5

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

b+7=5

Subtract 7 from both sides of the equation.

b=5-7

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

b+7=-5

Subtract 7 from both sides of the equation.

b=-5-7

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

b=5-7,-5-7

b=5-7,-5-7

The result can be shown in multiple forms.

Exact Form:

b=5-7,-5-7

Decimal Form:

b=-4.76393202…,-9.23606797…

Solve for b (b+7)^2=5