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Let $$a \in R$$ and let $$f: R \rightarrow R$$ be given by$$f(x) = x^5 - 5x + a$$Then
f(x) has three real roots if a > 4
f(x) has only one real root if a > 4
f(x) has three real roots if a < -4
f(x) has three real roots if - 4 < a < 4
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