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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 sum of the roots of the equation x^2 -5x+6 = 0 is tagged by: GMATinsight ##### This topic has 2 expert replies and 0 member replies ## If sum of the roots of the equation x^2 -5x+6 = 0 is If sum of the roots of the equation x^2 -5x+6 = 0 is a and product fo the roots of the same equation is b then find a^b A) 1 B) 5^6 C) 6^5 D) 30 E) 11 SOURCE: http://WWW.GMATINSIGHT.COM Answer: option B _________________ Bhoopendra Singh & Sushma Jha - Founder "GMATinsight" Testimonials e-mail: info@GMATinsight.com I Mobile: +91-9999687183 / +91-9891333772 To register for One-on-One FREE ONLINE DEMO Class Call/e-mail One-On-One Private tutoring fee - US$40 per hour & for FULL COURSE (38 LIVE Sessions)-US$1000 ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: If sum of the roots of the equation x^2 -5x+6 = 0 is a and product fo the roots of the same equation is b then find a^b A) 1 B) 5^6 C) 6^5 D) 30 E) 11 SOURCE: http://WWW.GMATINSIGHT.COM Answer: option B Hi GMATinsight, Let's take a look at your question. The quadratic equation given is: $$x^2-5x+6=0$$ We know that, for a quadratic equation ax^2+bx+c=0, Sum of roots = -b/a Product of roots = c/a We can find the sum and product of roots of given quadratic equation as: $$Sum\ of\ roots=a=-\frac{\left(-5\right)}{1}=5$$ $$Product\ of\ roots=b=\frac{6}{1}=6$$ $$a^b=5^6$$ Therefore, option B is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1465 messages Followed by: 19 members Upvotes: 39 GMATinsight wrote: If sum of the roots of the equation x^2 -5x+6 = 0 is a and product fo the roots of the same equation is b then find a^b A) 1 B) 5^6 C) 6^5 D) 30 E) 11 In any quadratic equation of the form ax^2 + bx + c = 0, the sum of the two roots is -b/a and the product of the two roots is c/a. Thus here the sum of the two roots is -(-5)/1 = 5 and the product of the two roots is 6/1 = 6. Thus, a^b = 5^6. Alternate Solution: We solve x^2 -5x+6 = 0 by factoring: (x - 3)(x - 2) = 0 So, x = 3 and x = 2 are the roots. Thus, a = 3 + 2 = 5, and b = 3 x 2 = 6. We see, then, that a^b = 5^6. Answer: B • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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