2001 AIME I Problems/Problem 3

Problem

Find the sum of the roots, real and non-real, of the equation $x^{2001}+\left(\frac 12-x\right)^{2001}=0$ , given that there are no multiple roots.

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2001 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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