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If x < − 3 and x2 + 5x + 12 = 8, what is the value of x + 2?
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03 Mar 2019, 03:30
03 Mar 2019, 03:30
Expert Reply
00:00
Question Stats:
80% (00:41) correct
19% (01:16) wrong based on 62 sessions
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If \(x < − 3\) and \(x^2 + 5x + 12 = 8\), what is the value of \(x + 2\)?
A. − 4
B. − 2
C. − 1
D. 0
E. 3
A. − 4
B. − 2
C. − 1
D. 0
E. 3
Re: If x < − 3 and x2 + 5x + 12 = 8, what is the value of x + 2?
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05 Mar 2019, 13:25
05 Mar 2019, 13:25
1
x^2 + 5x + 12 = 8
x^2 + 5x + 4 = 0
(x+4)(x+1) = 0
x+4 = 0
x = -4
x+1 = 0
x = -1
x could be -4 or - 1. We are told that x < -3, so x has to be -4.
-4 + 2 = -2
Answer choice B.
x^2 + 5x + 4 = 0
(x+4)(x+1) = 0
x+4 = 0
x = -4
x+1 = 0
x = -1
x could be -4 or - 1. We are told that x < -3, so x has to be -4.
-4 + 2 = -2
Answer choice B.
Re: If x < − 3 and x2 + 5x + 12 = 8, what is the value of x + 2?
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09 Mar 2019, 12:39
09 Mar 2019, 12:39
1
Expert Reply
Also, if x < -3, then x + 2 < -1. That eliminates C, D, and E, leaving us with only two choices. I test x + 2 = -2 (so x = -4), and it works, so choice B is the answer. If it didn't work, A would be the answer.
