JEE-Advanced 2014 (1/40)

Algebra Level 3

If aRa\in \mathbb R and f:RRf:\mathbb R \to \mathbb R is given by f(x)=x55x+a,f(x)=x^5-5x+a, then which of the followings is/are true?

A.  f(x)\ \, f(x) has three real roots if a>4a>4.
B.  f(x)\ \, f(x) has only one real root if a>4a>4.
C.  f(x)\ \, f(x) has three real roots if a<4a<-4.
D.  f(x)\ \, f(x) has three real roots if 4<a<4-4<a<4.

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