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100 points for 49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If x is a positive integer such that x^2 + 5x - 14 = 0, wh ##### This topic has 2 expert replies and 1 member reply ### Top Member ## If x is a positive integer such that x^2 + 5x - 14 = 0, wh ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult 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 OA D Source: Princeton Review ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13035 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorDC wrote: If x is a positive integer such that xÂ² + 5x - 14 = 0, what is the value of x ? A. -7 B. -5 C. 0 D. 2 E. 5 GIVEN: xÂ² + 5x - 14 = 0 Factor: (x + 7)(x - 2) = 0 So, EITHER x = -7 OR x = 2 Since we're told x is POSITIVE, the correct answer is D Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### Top Member Legendary Member Joined 29 Oct 2017 Posted: 1007 messages Followed by: 4 members \begin{align*} x^2+5x-14 &=0 \\ x^2+7x-2x-14&=0 \\ x(x+7)-2(x+7)&=0\\ (x-2)(x+7)&=0 \end{align*} Hence either $$x-2=0 \Rightarrow x=2$$ or $$x+7=0 \Rightarrow x=-7$$ But it is mentioned in the question statement that $$x$$ is positive. Therefore, $$x=2$$. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 BTGmoderatorDC wrote: 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 OA D Source: Princeton Review 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. Alternate solution: We can eliminate choices A to C since they are not positive. Now, letâ€™s check choice D by substituting 2 for the value of x. 2^2 + 5(2) - 14 = 4 + 10 - 14 = 0 We see that choice D is the correct answer. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to200

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