(x+7)2=98

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

(x+7)2⋅12=±98

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

x+7=±98

Rewrite 98 as 72⋅2.

Factor 49 out of 98.

x+7=±49(2)

Rewrite 49 as 72.

x+7=±72⋅2

x+7=±72⋅2

Pull terms out from under the radical.

x+7=±72

x+7=±72

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

x+7=72

Subtract 7 from both sides of the equation.

x=72-7

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

x+7=-72

Subtract 7 from both sides of the equation.

x=-72-7

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

x=72-7,-72-7

x=72-7,-72-7

The result can be shown in multiple forms.

Exact Form:

x=72-7,-72-7

Decimal Form:

x=2.89949493…,-16.89949493…

Solve Using the Square Root Property (x+7)^2=98