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If a∈Ra\in \mathbb Ra∈R and f:R→Rf:\mathbb R \to \mathbb Rf:R→R is given by f(x)=x5−5x+a,f(x)=x^5-5x+a,f(x)=x5−5x+a, then which of the followings is/are true?
A. f(x)\ \, f(x) f(x) has three real roots if a>4a>4a>4. B. f(x)\ \, f(x) f(x) has only one real root if a>4a>4a>4. C. f(x)\ \, f(x) f(x) has three real roots if a<−4a<-4a<−4. D. f(x)\ \, f(x) f(x) has three real roots if −4<a<4-4<a<4−4<a<4.
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