# CAT 2020 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 11

This question is about the number of roots of the given Quadratic Equation. We need to find the real numbers which satisfy the given Quadratic equation. Solving questions from linear and Quadratic Equations well is an integral part of cracking CAT. Get cartloads of practice on these topics.

Question 11 : The number of distinct real roots of the equation
(x + $$frac{1}{x}$)2 - 3$x + $$frac{1}{x}$) + 2 = 0 equals ## 🎉 We're slashing prices for all our 2024 online courses! #### Register Now ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer x + $\frac{1}{x}$ = y y2 – 3y + 2 = 0 y ≥ 2 & y ≤ - 2$y – 1) (y – 2) = 0
y = 1(Not possible) or y = 2
Now, x + $$frac{1}{x}$ = 2 This has only one option x = 1. So, only one real root The question is "The number of distinct real roots of the equation$x + $$frac{1}{x}$)2 - 3$x + $$frac{1}{x}$) + 2 = 0 equals" ##### Hence, the answer is, " 1" ###### 🎉 We're slashing prices for all our 2024 online courses! ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91) 99626 48484 / 94459 38484
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