(x-17)2=18

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

(x-17)2⋅12=±18

Remove the perfect root factor x-17 under the radical to solve for x.

x-17=±18

Rewrite 18 as 32⋅2.

Factor 9 out of 18.

x-17=±9(2)

Rewrite 9 as 32.

x-17=±32⋅2

x-17=±32⋅2

Pull terms out from under the radical.

x-17=±32

x-17=±32

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

x-17=32

Add 17 to both sides of the equation.

x=32+17

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

x-17=-32

Add 17 to both sides of the equation.

x=-32+17

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

x=32+17,-32+17

x=32+17,-32+17

The result can be shown in multiple forms.

Exact Form:

x=32+17,-32+17

Decimal Form:

x=21.24264068…,12.75735931…

Solve Using the Square Root Property (x-17)^2=18