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Let α ∈ R and let f : R → R be given by f (x) = x5 - 5x + α, 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 < 4

1 Answer

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Best answer

(B) f (x) has only one real roots if a > 4 

(D) f (x) has three real roots if - 4 < a < 4

Let y = x5 – 5x

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