CAT 2019 Linear and Quadratic Equations Question (Medium)

Question

If x 2 x 1 0, then x 2018 x 2019 equals which of the following

Optima Learn · Accepted Answer

Given x 2 x 1 0 Multiplying both sides by x-1, x 3 - 1 0 Hence, x 3 1 and x ne 1. Therefore, powers of x repeat modulo 3. Now, 2018 equiv 2 , quad 2019 equiv 0 . So, x 2018 x 2, quad x 2019 x 3 1. Thus, x 2018 x 2019 x 2 1. From the given equation, x 2 -x - 1. Hence, x 2 1 -x. Therefore, the require

CAT 2019 Linear and Quadratic Equations — Previous Year Question

CAT 2019

Quantitative

Linear and Quadratic Equations

Medium

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