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National and Regional Contests
Nepal Contests
Nepal National Olympiad
2018 Nepal National Olympiad
1c
Nepal National Olympiad
Nepal National Olympiad
Source: Nepal Mathematics Olympiad
April 22, 2018
algebra
Problem Statement
Problem Section #1 c) Find all pairs
(
m
,
n
)
(m, n)
(
m
,
n
)
of non-negative integers for which
m
2
+
2.
3
n
=
m
(
2
n
+
1
ā
1
)
.
m^2+2.3^n=m(2^{n+1}-1).
m
2
+
2.
3
n
=
m
(
2
n
+
1
ā
1
)
.
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