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1 + x + x^2 + x^3 + ... + x^{2011} = 0 (HOMC 2011 J Q9)

Source:

July 25, 2019
algebraequation

Problem Statement

Solve the equation 1+x+x2+x3+...+x2011=01 + x + x^2 + x^3 + ... + x^{2011} = 0.