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2002 Stanford Mathematics Tournament
4
4
Part of
2002 Stanford Mathematics Tournament
Problems
(1)
SMT 2002 Algebra #4
Source:
6/27/2012
Suppose that
n
2
−
2
m
2
=
m
(
n
+
3
)
−
3
n^2-2m^2=m(n+3)-3
n
2
−
2
m
2
=
m
(
n
+
3
)
−
3
. Find all integers
m
m
m
such that all corresponding solutions for
n
n
n
will not be real.