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Let `a in R` and let `f: Rvec` be given by `f(x)=x^5-5x+a ,` then (a) `f(x)` has three real roots if `a >4` (b)`f(x)` has only one real roots if `a >4` (c)`f(x)` has three real roots if `a<-4` (d)`f(x)` has three real roots if `-4

A

f(x) has three real roots if a `gt4`

B

f(x) has only one real root is `a gt 4`

C

f(x) has three real roots if `a lt -4`

D

f(x) has three real roots if `-4 lt a lt4`

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The correct Answer is:
B, D
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