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 October 8th, 2011, 12:21 PM #1 Newbie   Joined: Oct 2011 Posts: 2 Thanks: 0 Functional equation Find all function defined on the set of real numbers x,y and obtaining real values such that for any real numbers x,y that equation is true : $f(x+f(x+y))=f^2(x)+f(x-y)$
 October 8th, 2011, 01:27 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,469 Thanks: 2038 Is this a competition question?
 October 8th, 2011, 01:46 PM #3 Newbie   Joined: Oct 2011 Posts: 2 Thanks: 0 Re: Functional equation I found it in an old book without solutions...
 October 9th, 2011, 02:55 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,469 Thanks: 2038 The problem appears as question 8 in this competition. The relevant deadlines have now been passed.

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