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National and Regional Contests
PEN Problems
PEN H Problems
43
43
Part of
PEN H Problems
Problems
(1)
H 43
Source:
5/25/2007
Find all solutions in integers of
x
3
+
2
y
3
=
4
z
3
x^{3}+2y^{3}=4z^{3}
x
3
+
2
y
3
=
4
z
3
.
Diophantine Equations