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1992 IMO Longlists
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63
Part of
1992 IMO Longlists
Problems
(1)
A very nice problem IMO LongList 1992 ROM2
Source:
9/2/2010
Let
a
a
a
and
b
b
b
be integers. Prove that
2
a
2
−
1
b
2
+
2
\frac{2a^2-1}{b^2+2}
b
2
+
2
2
a
2
−
1
is not an integer.
modular arithmetic
quadratics
number theory
Divisibility
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