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National and Regional Contests
PEN Problems
PEN H Problems
84
84
Part of
PEN H Problems
Problems
(1)
H 84
Source:
5/25/2007
For what positive numbers
a
a
a
is
2
+
a
3
+
2
−
a
3
\sqrt[3]{2+\sqrt{a}}+\sqrt[3]{2-\sqrt{a}}
3
2
+
a
+
3
2
−
a
an integer?
Diophantine Equations