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diophantine m^2 + n^2 + 3 = 4(m + n) (HOMC 2011 J Q6)
diophantine m^2 + n^2 + 3 = 4(m + n) (HOMC 2011 J Q6)
Source:
July 25, 2019
number theory
Diophantine equation
diophantine
Problem Statement
Find all positive integers
(
m
,
n
)
(m,n)
(
m
,
n
)
such that
m
2
+
n
2
+
3
=
4
(
m
+
n
)
m^2 + n^2 + 3 = 4(m + n)
m
2
+
n
2
+
3
=
4
(
m
+
n
)
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