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Problems
Contests
National and Regional Contests
India Contests
Regional Mathematical Olympiad
2000 India Regional Mathematical Olympiad
2
2
Part of
2000 India Regional Mathematical Olympiad
Problems
(1)
Solve the eqn
Source: Indian RMO 2000 Problem 2
10/26/2005
Solve the equation
y
3
=
x
3
+
8
x
2
ā
6
x
+
8
y^3 = x^3 + 8x^2 - 6x +8
y
3
=
x
3
+
8
x
2
ā
6
x
+
8
, for positive integers
x
x
x
and
y
y
y
.