MathDB
Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch BxMO/EGMO TST
2016 Dutch BxMO TST
5
5
Part of
2016 Dutch BxMO TST
Problems
(1)
(m + n)^3 / ( 2n (3m^2 + n2) + 8 )
Source: Dutch BxMO TST 2016 p5
8/24/2019
Determine all pairs
(
m
,
n
)
(m, n)
(
m
,
n
)
of positive integers for which
(
m
+
n
)
3
/
2
n
(
3
m
2
+
n
2
)
+
8
(m + n)^3 / 2n (3m^2 + n^2) + 8
(
m
+
n
)
3
/2
n
(
3
m
2
+
n
2
)
+
8
number theory
divides