QJEEM22Mab711: JEE Main 2022 Mathematics - Class 11 JEEM22Mab711 Solution: The number of distinct real roots of x 4 − 4x + 1 = 0 is :

Question

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The number of distinct real roots of x⁴ $-$ 4x + 1 = 0 is :

Accepted Answer

$f (x) = x^{4} - 4 x + 1 = 0$

$f^{'} (x) = 4 x^{3} - 4$

$= 4 (x - 1) (x^{2} + 1 + x)$

JEE Main 2022 (Online) 27th June Morning Shift Mathematics - Quadratic Equation and Inequalities Question 68 English Explanation

$\Rightarrow$ Two solution

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