Question

Solve (x + 9)2 = 25.

Apply the square root property of equality:
Isolate the variable.

=
If x + 9 = 5, then x =
.
If x + 9 = –5, then x =
.

Answer 1

-4 and -14

Explanation:

If x + 9 = 5, then x = -4

If x + 9 = –5, then x = -14

Answer 2

We are asked to determine the two roots of the given expression (x+9)² = 25. We already have given the simplified and final answer such that we only need to perform transposition of +9 to the left side and perform either subtraction or addition. The solution is shown below:
If x+9 = 5 , transpose +9 to the left side and perform subtraction
x = 5 - 9
x = -4 so the first root is -4
If x+9 = -5 , transpose +9 to the left side and perform subtraction
x = -5 - 9
x = -14 so the second root is - 14

The answers are -4 and -14.