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2009 Italy TST
3
All pairs of integers x, y satisfying equation
All pairs of integers x, y satisfying equation
Source: Italy TST 2009 P3
March 10, 2012
geometry
number theory proposed
number theory
Problem Statement
Find all pairs of integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
y
3
=
8
x
6
+
2
x
3
y
ā
y
2
.
y^3=8x^6+2x^3y-y^2.
y
3
=
8
x
6
+
2
x
3
y
ā
y
2
.
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