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INMO 2017 Question 2

Source: 2017 India National Olympiad

January 16, 2017
india2017number theory

Problem Statement

Suppose n≥0n \ge 0 is an integer and all the roots of x3+αx+4−(2×2016n)=0x^3 + \alpha x + 4 - ( 2 \times 2016^n) = 0 are integers. Find all possible values of α\alpha.
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