Maths Olympiad Prep

Track / Stage 6 / 4 of 400 #1004 of 1964

Problem 1004

National Olympiad, first round
Algebra Difficulty 6.0 Prove it KöMaL problem A · Hungary · 2025

Let n2n \ge 2 be an integer. Let x1,,xnx_1,\ldots,x_n be positive real numbers whose product is n1n-1. Prove that

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