Question

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Answer 1

Solve for x:2 (x + 3) - 8 = 0
2 (x + 3) = 2 x + 6:
2 x + 6 - 8 = 0
Grouping like terms, 2 x - 8 + 6 = 2 x + (6 - 8):
2 x + (6 - 8) = 0
6 - 8 = -2:
2 x + -2 = 0
Add 2 to both sides:
2 x + (2 - 2) = 2
2 - 2 = 0:
2 x = 2
Divide both sides of 2 x = 2 by 2:
(2 x)/2 = 2/2
2/2 = 1:
x = 2/2
2/2 = 1:
Answer: x = 1