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How Many Real Roots Does the Equation x57x+c=0x^{5}-7 x+c=0 Have in the Interval

Question 70

Multiple Choice

How many real roots does the equation x57x+c=0x^{5}-7 x+c=0 have in the interval [1,1][-1,1] ?


A) at most five real roots
B) no real roots
C) at most one real root
D) at most two real roots
E) at most three real roots

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