GATE Civil Engineering 2024: Smallest Positive Root of Polynomial Equation

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Civil Engineering > GATE 2024 SET-1 > Algebra

The smallest positive root of the equation
x⁵ - 5 x⁴ - 10 x³ + 50 x² + 9 x - 45 = 0
lies in the range _______.

A

0 < x ≤ 2

B

2 < x ≤ 4

C

6 ≤ x ≤ 8

D

10 ≤ x ≤ 100

Correct : a

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