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Bangladesh Mathematical Olympiad
2018 Bangladesh Mathematical Olympiad
6
Equality problem
Equality problem
Source:
March 10, 2018
algebra
Problem Statement
Find all the pairs of integers
(
m
,
n
)
(m,n)
(
m
,
n
)
satisfying the equality
3
(
m
2
+
n
2
)
−
7
(
m
+
n
)
=
−
4
3(m^2+n^2)-7(m+n)=-4
3
(
m
2
+
n
2
)
−
7
(
m
+
n
)
=
−
4
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