Let a ∈ R and let f : R → R be given by f ( x ) = x 5 – 5 x + a . Then
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let a ∈ R and let f : R → R be given by f (x) = x5 – 5x + a.
Then
Then
- f (x) has three real roots if a > 4
- f (x) has only one real root if a > 4
- f (x) has three real roots if a < –4
- f (x) has three real roots if – 4 < a < 4
Answer
(D) f ( x ) has three real roots if – 4 a
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