MathDB

7

Part of 2006 Indonesia MO

Problems(1)

Real, rational, integers

Source: Indonesia Mathematics Olympiad 2006 Day 2 Problem 7

6/2/2008
Let a,b,c a,b,c be real numbers such that ab,bc,ca ab,bc,ca are rational numbers. Prove that there are integers x,y,z x,y,z, not all of them are 0 0, such that ax\plus{}by\plus{}cz\equal{}0.
algebra proposedalgebra