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53
Unlikely diophantine [ILL 1977]
Unlikely diophantine [ILL 1977]
Source:
January 11, 2011
number theory proposed
number theory
Problem Statement
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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