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Find minimun value

Source: Cono Sur 1994-problem 3

June 1, 2006
inequalitiesinequalities unsolved

Problem Statement

Let pp be a positive real number given. Find the minimun vale of x3+y3x^3+y^3, knowing that xx and yy are positive real numbers such that xy(x+y)=pxy(x+y)=p.
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