MathDB

1

Part of 1999 Junior Balkan MO

Problems(1)

Prove that a + b + c = 0

Source: JBMO 1999, Problem 1

10/30/2005
Let a,b,c,x,y a,b,c,x,y be five real numbers such that a^3 \plus{} ax \plus{} y \equal{} 0, b^3 \plus{} bx \plus{} y \equal{} 0 and c^3 \plus{} cx \plus{} y \equal{} 0. If a,b,c a,b,c are all distinct numbers prove that their sum is zero. Ciprus
algorithm