Art of Problem Solving

2020 IMO Problems/Problem 2: Difference between revisions

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Revision as of 00:56, 23 September 2020

Problem 2. The real numbers a, b, c, d are such that a ≥ b ≥ c ≥ d > 0 and a + b + c + d = 1. Prove that (a+2b+3c+4d)$a^a$