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2007 Greece Junior Math Olympiad
3
3
Part of
2007 Greece Junior Math Olympiad
Problems
(1)
Problem 3 - Juniors
Source: 24-th Hellenic Mathematical Olympiad
4/16/2007
For an integer
n
n
n
, denote
A
=
n
2
+
24
A =\sqrt{n^{2}+24}
A
=
n
2
+
24
and
B
=
n
2
−
9
B =\sqrt{n^{2}-9}
B
=
n
2
−
9
. Find all values of
n
n
n
for which
A
−
B
A-B
A
−
B
is an integer.
number theory proposed
number theory