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2
Equation in integers
Equation in integers
Source: Lithuanian TST 2006
April 21, 2006
inequalities
quadratics
number theory unsolved
number theory
Problem Statement
Solve in integers
x
x
x
and
y
y
y
the equation
x
3
ā
y
3
=
2
x
y
+
8
x^3-y^3=2xy+8
x
3
ā
y
3
=
2
x
y
+
8
.
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