Vietnam TST 2004

For discussing Olympiad Level Algebra (and Inequality) problems
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SANZEED
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Vietnam TST 2004

Unread post by SANZEED » Fri May 18, 2012 11:48 pm

Find all real numbers $\alpha$ for which there is a unique function $f:\mathbb R\mapsto \mathbb R$ satisfying

\[f(x^{2}+y+f(y))=f(x)^{2}+\alpha y\]


for all real $x,y$.
Last edited by Phlembac Adib Hasan on Sat Mar 23, 2013 9:50 pm, edited 1 time in total.
Reason: Latexed Properly
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Phlembac Adib Hasan
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Re: Vietnam TST 2004

Unread post by Phlembac Adib Hasan » Sat Mar 23, 2013 9:54 pm

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