Art of Problem Solving

2018 USAMO Problems/Problem 1: Revision history

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  • curprev 10:5010:50, 21 April 2018 Sujaykazi talk contribs 273 bytes +273 Created page with "==Problem 1== Let <math>a,b,c</math> be positive real numbers such that <math>a+b+c=4\sqrt[3]{abc}</math>. Prove that <cmath>2(ab+bc+ca)+4\min(a^2,b^2,c^2)\ge a^2+b^2+c^2.</cm..."