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Dutch BxMO/EGMO TST
2016 Dutch BxMO TST
5
(m + n)^3 / ( 2n (3m^2 + n2) + 8 )
(m + n)^3 / ( 2n (3m^2 + n2) + 8 )
Source: Dutch BxMO TST 2016 p5
August 24, 2019
number theory
divides
Problem Statement
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
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