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Baltic Way
1993 Baltic Way
4
4
Part of
1993 Baltic Way
Problems
(1)
Expression is an integer for n
Source: Baltic Way 1993
6/15/2012
Determine all integers
n
n
n
for which
25
2
+
625
4
−
n
+
25
2
−
625
4
−
n
\sqrt{\frac{25}{2}+\sqrt{\frac{625}{4}-n}}+\sqrt{\frac{25}{2}-\sqrt{\frac{625}{4}-n}}
2
25
+
4
625
−
n
+
2
25
−
4
625
−
n
is an integer.
number theory proposed
number theory