SOLUTION: Which of the following are the solutions to the function: f(x) = (x + 2)^2 - 9 A) +/- 3 B) -1, 5 C) 1, -5 D) +/- 5

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Which of the following are the solutions to the function: f(x) = (x + 2)^2 - 9 A) +/- 3 B) -1, 5 C) 1, -5 D) +/- 5      Log On


   

Question 913408: Which of the following are the solutions to the function: f(x) = (x + 2)^2 - 9
A) +/- 3
B) -1, 5
C) 1, -5
D) +/- 5
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = (x + 2)^2 - 9
(x + 2)^2 - 9 = 0
(x + 2)^2 = 9
x + 2 = ± 3
x = -2 ± 3
x is -5, 1

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+%28x+%2B+2%29%5E2+-9

f%28x%29+=+x%5E2+%2B4x%2B4+-9
f%28x%29+=+x%5E2+%2B4x+-5
f%28x%29+=+x%5E2+-x%2B5x+-5
f%28x%29+=+%28x%5E2+-x%29%2B%285x+-5%29
f%28x%29+=+x%28x+-1%29%2B5%28x+-1%29
f%28x%29+=+%28x+%2B5%29%28x+-1%29
f%28x%29+=0 if +%28x+%2B5%29%28x+-1%29=0

+x+%2B5=0 =>x=-5
+x+-1=0 =>x=1
so, answer is:
C) 1, -5