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

 
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==Problem==
 
Find the maximal value of
 
Find the maximal value of
  
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''Dan Schwarz''
 
''Dan Schwarz''
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==Solution==
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==See also==
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*[[2006 Romanian NMO Problems]]

Revision as of 10:44, 27 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