Difference between revisions of "2006 Romanian NMO Problems/Grade 9/Problem 1"

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==See also==
 
==See also==
 
*[[2006 Romanian NMO Problems]]
 
*[[2006 Romanian NMO Problems]]
 +
[[Category: Olympiad Algebra Problems]]

Revision as of 10:12, 28 July 2006

Problem

Find the maximal value of

$\left( x^3+1 \right) \left( y^3 + 1\right)$,

where $x,y \in \mathbb R$, $x+y=1$.

Dan Schwarz

Solution

See also