TST TAJIKISTAN 2018 Day 2 Problem 1
Source:
July 10, 2018
algebraTSTAZE IzHO TST
Problem Statement
Problem 4. Let a,b be positive real numbers and let x,y be positive real numbers less than 1, such that:
a/(1-x)+b/(1-y)=1
Prove that:
∛ay+∛bx≤1.
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