(x-3)2=15

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

(x-3)2⋅12=±15

Remove the perfect root factor x-3 under the radical to solve for x.

x-3=±15

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

x-3=15

Add 3 to both sides of the equation.

x=15+3

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

x-3=-15

Add 3 to both sides of the equation.

x=-15+3

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

x=15+3,-15+3

x=15+3,-15+3

The result can be shown in multiple forms.

Exact Form:

x=15+3,-15+3

Decimal Form:

x=6.87298334…,-0.87298334…

Solve using the Square Root Property (x-3)^2=15