JEE-Advanced 2014 (1/40)
Algebra
Level
3
Let \(a\in \mathbb R\) and let \(f:\mathbb R \to \mathbb R\) be given by \(f(x)=x^5-5x+a\), then which of the followings is/are true?
(A) \(f(x)\) has three real roots if \(a>4\).
(B) \(f(x)\) has only one real root if \(a>4\).
(C) \(f(x)\) has three real roots if \(a<-4\).
(D) \(f(x)\) has three real roots if \(-4<a<4\).
by
Sandeep Bhardwaj