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2006 Romanian NMO Problems/Grade 9/Problem 1

Revision as of 09:44, 27 July 2006 by Chess64 (talk | contribs)

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

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