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1999 IMO Problems/Problem 6

Revision as of 07:13, 24 June 2024 by Reyaansh agrawal (talk | contribs) (→‎Solution)

Problem

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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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
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