(x-15)2=49

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

(x-15)2⋅12=±49

Remove the perfect root factor x-15 under the radical to solve for x.

x-15=±49

Rewrite 49 as 72.

x-15=±72

Pull terms out from under the radical, assuming positive real numbers.

x-15=±7

x-15=±7

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

x-15=7

Move all terms not containing x to the right side of the equation.

Add 15 to both sides of the equation.

x=7+15

Add 7 and 15.

x=22

x=22

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

x-15=-7

Move all terms not containing x to the right side of the equation.

Add 15 to both sides of the equation.

x=-7+15

Add -7 and 15.

x=8

x=8

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

x=22,8

x=22,8

Solve using the Square Root Property (x-15)^2=49