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

Question 54

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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