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

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Joined: 16 Sep 2016
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If x + 2 = (x + 11)/(x + 3) then x^2 + 4x - 5 = [#permalink]

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Updated on: 20 Mar 2018, 10:28
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Difficulty:

15% (low)

Question Stats:

86% (01:50) correct 14% (00:19) wrong based on 21 sessions

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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
[Reveal] Spoiler: OA

Originally posted by Gladiator59 on 20 Mar 2018, 10:26.
Last edited by Bunuel on 20 Mar 2018, 10:28, edited 1 time in total.
Renamed the topic and edited the question.
SVP
Joined: 12 Sep 2015
Posts: 2298
If x + 2 = (x + 11)/(x + 3) then x^2 + 4x - 5 = [#permalink]

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20 Mar 2018, 10:37
Expert's post
Top Contributor
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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20 Mar 2018, 10:45
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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Re: If x + 2 = (x + 11)/(x + 3) then x^2 + 4x - 5 =   [#permalink] 20 Mar 2018, 10:45
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