Question

Solve (x + 9)2 = 25.

(x + )2 = 1725
1. Apply the square root property of equality:
2. Isolate the variable.
If x + 9 = 5, then x =
If x + 9 = -5, then x =

Answer 1

x = -4 and x = -14

Explanation:

Our equation is (x + 9)² = 25

Applying the square root property we would need to take the square root of both sides:
`\sqrt{(x+9)^(2) } =√(25)`

This give us x + 9 = ±5

Here we have two equations since taking the square root gives us a positive and negative value

Our first equation is x + 9 = 5, and to isolate the variable we would need to subtract 9 from both sides, giving us x = -4

Our second equation is x + 9 = -5, and to isolate the variable we would need to subtract 9 from both sides, giving us x = -14