Difference between revisions of "1999 IMO Problems/Problem 6"

Revision as of 06:13, 24 June 2024

Determine all functions $f:\Bbb{R}\to \Bbb{R}$ such that

$f(x-f(y))=f(f(y))+xf(y)+f(x)-1$

for all real numbers $x,y$ .

{solution}

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 ==Solution==
-{{solution}}
+{solution}
 ==See Also==

1999 IMO (Problems) • Resources
Preceded by Problem 5	1 • 2 • 3 • 4 • 5 • 6	Followed by Last Question
All IMO Problems and Solutions