xyxy and 2x+y2x + y

7/10algebraAM-GMinequality

Problem

Positive x,yx, y satisfy xy(x+y)=4xy(x+y) = 4. Find the maximum of xyxy and the minimum of 2x+y2x + y.

Answer

Solution

Difficulty7/10
Topicsalgebra, AM-GM, inequality

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