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Regional Mathematical Olympiad
2002 India Regional Mathematical Olympiad
2
Solve the eqn
Solve the eqn
Source: Indian RMO 2002 Problem 2
October 27, 2005
equation
RMO
Problem Statement
Solve for real
x
x
x
:
(
x
2
+
x
−
2
)
3
+
(
2
x
2
−
x
−
1
)
3
=
27
(
x
2
−
1
)
3
.
(x^2 + x -2 )^3 + (2x^2 - x -1)^3 = 27(x^2 -1 )^3.
(
x
2
+
x
−
2
)
3
+
(
2
x
2
−
x
−
1
)
3
=
27
(
x
2
−
1
)
3
.
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