(w+9)2=5

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

(w+9)2⋅12=±5

Remove the perfect root factor w+9 under the radical to solve for w.

w+9=±5

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

w+9=5

Subtract 9 from both sides of the equation.

w=5-9

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

w+9=-5

Subtract 9 from both sides of the equation.

w=-5-9

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

w=5-9,-5-9

w=5-9,-5-9

The result can be shown in multiple forms.

Exact Form:

w=5-9,-5-9

Decimal Form:

w=-6.76393202…,-11.23606797…

Solve for w (w+9)^2=5