Problem A. 375. (May 2005)
A. 375. Find all continuous functions , such that
f (x+y+f(xy))=xy+f(x+y).
for all x,y 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