MathDB
Problems
Contests
National and Regional Contests
Bangladesh Contests
Bangladesh Mathematical Olympiad
2018 Bangladesh Mathematical Olympiad
6
6
Part of
2018 Bangladesh Mathematical Olympiad
Problems
(1)
Equality problem
Source:
3/10/2018
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
algebra