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Turkey Team Selection Test
1994 Turkey Team Selection Test
3
Turkey TST 1994 - P6
Turkey TST 1994 - P6
Source:
March 13, 2011
algebra
polynomial
Vieta
quadratics
number theory proposed
number theory
Problem Statement
Find all integer pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
such that
a
ā
b
a\cdot b
a
ā
b
divides
a
2
+
b
2
+
3
a^2+b^2+3
a
2
+
b
2
+
3
.
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