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 $x,y$.
Vietnam TST 2004
Last edited by Phlembac Adib Hasan on Sat Mar 23, 2013 9:50 pm, edited 1 time in total.
Reason: Latexed Properly
Reason: Latexed Properly
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$
- Phlembac Adib Hasan
- Posts:1016
- Joined:Tue Nov 22, 2011 7:49 pm
- Location:127.0.0.1
- Contact:
Re: Vietnam TST 2004
Welcome to BdMO Online Forum. Check out Forum Guides & Rules