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(x – 2)(x + 4) – (x – 3)(x – 1) = 0 (A) –5 (B) –1 (C) 0 (D)
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17 May 2019, 02:15
17 May 2019, 02:15
Expert Reply
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Question Stats:
94% (01:08) correct
5% (01:51) wrong based on 35 sessions
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If \((x – 2)(x + 4) – (x – 3)(x – 1) = 0\), what is the value of x?
(A) –5
(B) –1
(C) 0
(D) \(\frac{1}{2}\)
(E) \(\frac{11}{6}\)
(A) –5
(B) –1
(C) 0
(D) \(\frac{1}{2}\)
(E) \(\frac{11}{6}\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: (x – 2)(x + 4) – (x – 3)(x – 1) = 0 (A) –5 (B) –1 (C) 0 (D)
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17 May 2019, 03:55
17 May 2019, 03:55
1
Carcass wrote:
\((x – 2)(x + 4) – (x – 3)(x – 1) = 0\)
(A) –5
(B) –1
(C) 0
(D) \(\frac{1}{2}\)
(E) \(\frac{11}{6}\)
(A) –5
(B) –1
(C) 0
(D) \(\frac{1}{2}\)
(E) \(\frac{11}{6}\)
Take: (x – 2)(x + 4) – (x – 3)(x – 1) = 0
Expand and simplify each product to get: [x² + 2x - 8] - [x² - 4x + 3] = 0
Simplify to get: 6x - 11 - 0
Add 11 to both sides to get: 6x = 11
Divide both sides by 6 to get: x = 11/6
Answer: E
Cheers,
Brent
gmatclubot
Re: (x – 2)(x + 4) – (x – 3)(x – 1) = 0 (A) –5 (B) –1 (C) 0 (D) [#permalink]
17 May 2019, 03:55
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