IMO 2020 Shortlist A4
Let a,b,c,d be four real numbers such that a ě b ě c ě d ą 0 and abcd “ 1. Prove that pa 2b 3c 4dqaa bb cc dd ă 1. (Belg...
Category: Algebra
Problem
Let a,b,c,d be four real numbers such that a ě b ě c ě d ą 0 and abcd “ 1. Prove that pa 2b 3c 4dqaa
bb
cc
dd
ă 1.
(Belgium)