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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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12 Nov 2018, 01:38
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89% (00:51) correct 11% (00:52) wrong based on 76 sessions

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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

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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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12 Nov 2018, 21:40
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If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?  [#permalink]

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Updated on: 12 Nov 2018, 21:44
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...

Originally posted by Archit3110 on 12 Nov 2018, 02:53.
Last edited by Archit3110 on 12 Nov 2018, 21:44, 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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12 Nov 2018, 11:22
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.

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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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13 Nov 2018, 01:11
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

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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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21 Jan 2019, 19:21
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

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Re: If (x^2 + 5x + 6)/(x + 2) = 5, what is the value of x + 5 ?   [#permalink] 21 Jan 2019, 19:21
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