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IMO Longlists
1977 IMO Longlists
53
53
Part of
1977 IMO Longlists
Problems
(1)
Unlikely diophantine [ILL 1977]
Source:
1/11/2011
Find all pairs of integers
a
a
a
and
b
b
b
for which
7
a
+
14
b
=
5
a
2
+
5
a
b
+
5
b
2
7a+14b=5a^2+5ab+5b^2
7
a
+
14
b
=
5
a
2
+
5
ab
+
5
b
2
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number theory