Problem A. 371. (April 2005)
A. 371. Given that a+bc+1, b+c
a+1, c+a
b+1 for the numbers a,b,c
0, show that a2+b2+c2
2abc+1.
(5 pont)
Deadline expired on May 17, 2005.
Statistics:
9 students sent a solution. 5 points: Jankó Zsuzsanna, Király Csaba, Kiss-Tóth Christian, Mánfay Máté, Paulin Roland, Seres Gyula, Strenner Balázs. 1 point: 2 students.
Problems in Mathematics of KöMaL, April 2005