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80
H 80
H 80
Source:
May 25, 2007
Diophantine Equations
Problem Statement
Prove that if
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
are integers such that
d
=
(
a
+
2
3
b
+
4
3
c
)
2
d=( a+\sqrt[3]{2}b+\sqrt[3]{4}c)^{2}
d
=
(
a
+
3
2
b
+
3
4
c
)
2
then
d
d
d
is a perfect square.
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