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# If x is a positive integer such that

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1729
Location: Pakistan
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If x is a positive integer such that  [#permalink]

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17 Feb 2017, 05:31
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5% (low)

Question Stats:

93% (00:41) correct 7% (00:12) wrong based on 46 sessions

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If x is a positive integer such that x^2 + 5x − 14 = 0, what is the value of x ?

A. −7
B. −5
C. 0
D. 2
E. 5

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CEO
Joined: 12 Sep 2015
Posts: 3012
Re: If x is a positive integer such that  [#permalink]

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17 Feb 2017, 07:16
Top Contributor
1
If x is a positive integer such that x² + 5x − 14 = 0, what is the value of x ?

A. −7
B. −5
C. 0
D. 2
E. 5

Given: x² + 5x − 14 = 0,
Factor: (x + 7)(x - 2) = 0
We can conclude that EITHER x + 7 = 0 OR x - 2 = 0

If x + 7 = 0, then x = -7
If x - 2 = 0, then x = 2

We have two different solutions, but the question asks for the POSITIVE solution, which is 2

Cheers,
Brent
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Brent Hanneson – GMATPrepNow.com

Manager
Joined: 13 Apr 2010
Posts: 89
Re: If x is a positive integer such that  [#permalink]

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17 Feb 2017, 12:23
If x is a positive integer such that x^2 + 5x − 14 = 0, what is the value of x ?

A. −7
B. −5
C. 0
D. 2
E. 5

x^2 + 5x − 14 = 0
(x + 7) (x - 2) = 0
x = -7 or 2
As x is a positive number , x = 2

Intern
Joined: 11 Aug 2016
Posts: 47
Location: India
Concentration: Operations, General Management
Schools: HBS '18, ISB '17, IIMA
GMAT 1: 710 Q49 V38
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Re: If x is a positive integer such that  [#permalink]

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17 Feb 2017, 14:34
1
x^2+5x-14=0
x^2+7x-2x-14=0
x(x+7)-2(x+7)=0
(x-2)(x+7)=0

Hence
either x-2=0 => x=2
or x+7=0 => x=-7

But it is mentioned in the question statement that x is positive.

So x=2.

Manager
Joined: 03 Oct 2013
Posts: 84
Re: If x is a positive integer such that  [#permalink]

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17 Feb 2017, 14:52
Just to post a different approach, the question is for positive value of 2...so Only D or E will be the answer. Substitute these in the equation to see which satisfies.

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Re: If x is a positive integer such that  [#permalink]

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18 Feb 2017, 04:41
If x is a positive integer such that $$x^2 + 5x − 14 = 0$$, what is the value of x ?

A. −7
B. −5
C. 0
D. 2
E. 5

$$x^2 + 5x − 14 = 0$$

Or, $$x^2 + 7x − 2x − 14 = 0$$

Or, $$x ( x + 7 ) − 2 ( x + 7 ) = 0$$

Or, $$( x + 7 ) ( x − 2 ) = 0$$

So, $$x = 2$$ or $$x = −7$$

Answer will be (D) $$x = 2$$
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Joined: 04 Mar 2011
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Re: If x is a positive integer such that  [#permalink]

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23 Feb 2017, 10:21
1
If x is a positive integer such that x^2 + 5x − 14 = 0, what is the value of x ?

A. −7
B. −5
C. 0
D. 2
E. 5

x^2 + 5x − 14 = 0

(x + 7)(x - 2) = 0

x = -7 or x = 2

Since x must be positive, 2 is the correct answer.

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Re: If x is a positive integer such that &nbs [#permalink] 23 Feb 2017, 10:21
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