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If x is a number such that x^2 - 3x + 2 = 0 and x^2 - x - 2 = 0
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15 Jun 2022, 07:10
15 Jun 2022, 07:10
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Question Stats:
66% (00:48) correct
33% (01:51) wrong based on 12 sessions
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If \(x\) is a number such that \(x^2 - 3x + 2 = 0\) and \(x^2 - x - 2 = 0\), what is the value of \(x\)?
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Retired Moderator
Joined: 10 Apr 2015
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Re: If x is a number such that x^2 - 3x + 2 = 0 and x^2 - x - 2 = 0
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15 Jun 2022, 07:16
15 Jun 2022, 07:16
1
Carcass wrote:
If \(x\) is a number such that \(x^2 - 3x + 2 = 0\) and \(x^2 - x - 2 = 0\), what is the value of \(x\)?
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Since both equation are set equal to 0, we can write: x² - 3x + 2 = x² - x - 2
Subtract x² from both sides to get: -3x + 2 = -x - 2
Add 3x to both sides to get: 2 = 2x - 2
Add 2 to both sides to get: 4 = 2x
Solve: x = 2
Answer: E
gmatclubot
Re: If x is a number such that x^2 - 3x + 2 = 0 and x^2 - x - 2 = 0 [#permalink]
15 Jun 2022, 07:16
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