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Senior PS Moderator D
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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 If x + 2 = (x + 11)/(x + 3), then x^2 +4x − 5 =  [#permalink]

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Difficulty:   5% (low)

Question Stats: 92% (01:49) correct 8% (01:45) wrong based on 30 sessions

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If $$x + 2 = \frac{x+11}{x+3}$$, then $$x^2 +4x − 5 =$$

A. -11
B. -5
C. 0
D. 1
E. 2

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Originally posted by Gladiator59 on 20 Mar 2018, 10:26.
Last edited by Bunuel on 22 Aug 2018, 02:18, edited 2 times in total.
Renamed the topic and edited the question.
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Re: If x + 2 = (x + 11)/(x + 3), then x^2 +4x − 5 =  [#permalink]

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If x + 2 = (x + 11)/(x + 3) then x² + 4x - 5 =

A. -11
B. -5
C. 0
D. 1
E. 2

GIVEN: x + 2 = (x + 11)/(x + 3)
Multiply both sides by (x+3) to get: (x + 3)(x + 2) = x + 11
Use FOIL to expand left side: x² + 5x + 6 = x + 11
Subtract x from both sides to get: x² + 4x + 6 = 11
Subtract 11 from both sides to get: x² + 4x - 5 = 0

QUESTION: What is the value of x² + 4x - 5?
Well, x² + 4x - 5 = 0

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Re: If x + 2 = (x + 11)/(x + 3), then x^2 +4x − 5 =  [#permalink]

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If x + 2 = (x + 11)/(x + 3) then x^2 + 4x - 5 =

A. -11
B. -5
C. 0
D. 1
E. 2

$$x + 2 = \frac{(x + 11)}{(x + 3)}$$

Or, $$x^2+5x+6 = x + 11$$

Or, $$x^2+ 4x = 5$$

So, $$x^2 + 4x - 5 = 0$$, Answer must be (C)
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