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If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?

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If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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New post 12 Nov 2018, 00:38
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:52) correct 8% (01:07) wrong based on 70 sessions

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If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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New post Updated on: 12 Nov 2018, 20:44
1
Bunuel wrote:
If \(\frac{x^2 + 5x + 6}{x + 2} = 5\), what is the value of x + 5 ?

A. 2
B. 3
C. 5
D. 7
E. 10



upon solving for eqn x^2 + 5x + 6/x + 2[/fraction] = 5[/m]
we get x= +2
x+5= 7 , D would be correct...
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Originally posted by Archit3110 on 12 Nov 2018, 01:53.
Last edited by Archit3110 on 12 Nov 2018, 20:44, edited 3 times in total.
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Re: If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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New post 12 Nov 2018, 10:22
Archit3110 wrote:
Bunuel wrote:
If \(\frac{x^2 + 5x + 6}{x + 2} = 5\), what is the value of x + 5 ?

A. 2
B. 3
C. 5
D. 7
E. 10



upon solving for eqn x^2 + 5x + 6/x + 2[/fraction] = 5[/m]
we get x= +/-2
x+5= 7,3 im not sure which would be correct option... B or D?


Archit3110

Take the values for "x" and put them back into the original equation. Upon doing so you'll find that (-2+2) will equal 0; 0 in the denominator is not allowed on the GMAT as it is undefined. Therefore, the only value of "x" that is allowed is 2.

Answer choice D is correct.
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Re: If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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New post 12 Nov 2018, 20:40
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Re: If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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New post 13 Nov 2018, 00:11
Bunuel wrote:
If \(\frac{x^2 + 5x + 6}{x + 2} = 5\), what is the value of x + 5 ?

A. 2
B. 3
C. 5
D. 7
E. 10


\(\frac{x^2 + 5x + 6}{x + 2} = 5\)

i..e \(x^2 + 5x + 6=5x + 10\)

i.e. \(x^2 -4 = 0\)

i.e. \(x = +2 or -2\)

But x can NOT be -2 because in that case denominator x+2 will be come 0 making the expression undefined.

Hence, x = +2 is the only solution acceptable

i.e. x+5 = 2+5 = 7

Answer: Option D
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Re: If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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New post 21 Jan 2019, 18:21
Bunuel wrote:
If \(\frac{x^2 + 5x + 6}{x + 2} = 5\), what is the value of x + 5 ?

A. 2
B. 3
C. 5
D. 7
E. 10


Simplifying, we have:

(x + 2)(x + 3)/(x + 2) = 5

x + 3 = 5

x = 2, so x + 5 = 7

Answer: D
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Re: If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?   [#permalink] 21 Jan 2019, 18:21
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