MathDB
Classical-looking inequality

Source: Greece National Olympiad 2022, Problem 3

February 26, 2022
Inequalityinequalities

Problem Statement

The positive real numbers a,b,c,da,b,c,d satisfy the equality a+bc+cd+db+1ab2c2d2=18.a+bc+cd+db+\frac{1}{ab^2c^2d^2}=18. Find the maximum possible value of aa.
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