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Problems
Contests
National and Regional Contests
Mexico Contests
Regional Olympiad of Mexico Center Zone
2020 Regional Olympiad of Mexico Center Zone
5
5
Part of
2020 Regional Olympiad of Mexico Center Zone
Problems
(1)
Integers equation
Source:
10/25/2020
Find all positive integers
m
,
n
m,n
m
,
n
such that
m
2
+
5
n
m^2+5n
m
2
+
5
n
and
n
2
+
5
m
n^2+5m
n
2
+
5
m
are perfect squares.
number theory