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APMO
1999 APMO
4
4
Part of
1999 APMO
Problems
(1)
Determine pairs (a,b)
Source: APMO 1999
3/18/2006
Determine all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of integers with the property that the numbers
a
2
+
4
b
a^2+4b
a
2
+
4
b
and
b
2
+
4
a
b^2+4a
b
2
+
4
a
are both perfect squares.
inequalities
number theory unsolved
number theory