Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation

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Problem A. 375. (May 2005)

A. 375. Find all continuous functions $f\colon\mathbb{R}\to\mathbb{R}$ , such that

f (x+y+f(xy))=xy+f(x+y).

for all x,y $\in$ R.

(5 pont)

Deadline expired on June 15, 2005.

Statistics:

8 students sent a solution.

5 points: Jankó Zsuzsanna, Király Csaba, Paulin Roland, Strenner Balázs.

4 points: Tomon István, Vass Márton.

2 points: 1 student.

0 point: 1 student.

Problems in Mathematics of KöMaL, May 2005

8 students sent a solution.
5 points:	Jankó Zsuzsanna, Király Csaba, Paulin Roland, Strenner Balázs.
4 points:	Tomon István, Vass Márton.
2 points:	1 student.
0 point:	1 student.