2020 IMO Problems/Problem 2: Difference between revisions
Created page with "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)<math>a^a</math>" |
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Problem 2. The real numbers a, b, c, d are such that | Problem 2. The real numbers a, b, c, d are such that a≥b≥c≥d>0 and <math>a+b+c+d=1</math>. | ||
Prove that | Prove that | ||
(a+2b+3c+4d) | <math>(a+2b+3c+4d)a^a b^bc^cd^d<1</math> | ||
Revision as of 01:00, 23 September 2020
Problem 2. The real numbers a, b, c, d are such that a≥b≥c≥d>0 and 
.
Prove that
