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Austria Contests
Austrian MO National Competition
1990 Federal Competition For Advanced Students, P2
5
5
Part of
1990 Federal Competition For Advanced Students, P2
Problems
(1)
determine all rational numbers
Source: Austria 1990
7/10/2009
Determine all rational numbers
r
r
r
such that all solutions of the equation: rx^2\plus{}(r\plus{}1)x\plus{}(r\minus{}1)\equal{}0 are integers.
number theory unsolved
number theory