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diophantine m^2 + n^2 = 3(m + n) (HOMC 2008 J Q4)
diophantine m^2 + n^2 = 3(m + n) (HOMC 2008 J Q4)
Source:
July 25, 2019
number theory
Diophantine equation
diophantine
Problem Statement
Find all pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of positive integers such that
m
2
+
n
2
=
3
(
m
+
n
)
m^2 + n^2 = 3(m + n)
m
2
+
n
2
=
3
(
m
+
n
)
.
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