Which of the following is equivalent to the equation x + 5 = (x + 3)² ?
A) (x + 1) (x + 4) = 0
B) (x - 1) (x + 4) = 0
C) (x + 1) (x + 4) = 5
D) (x + 1) (x + 4) = 3
A) (x + 1) (x + 4) = 0
B) (x - 1) (x + 4) = 0
C) (x + 1) (x + 4) = 5
D) (x + 1) (x + 4) = 3
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answer:A. (x+1) (x+4)=0
Step-by-step explanation:
Expand then factor out
x + 5 = (x + 3)²
x + 5 = x² + 6x + 9
0 = x² + 5x +4 0
= (x + 1)(x + 4)
Therefore, A.