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National and Regional Contests
PEN Problems
PEN H Problems
42
42
Part of
PEN H Problems
Problems
(1)
H 42
Source:
5/25/2007
Find all integers
a
a
a
for which
x
3
ā
x
+
a
x^3 -x+a
x
3
ā
x
+
a
has three integer roots.
Diophantine Equations