CAT 2020 Question Paper | Quants Slot 1

CAT Questions

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

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Video Explanation

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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

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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"