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8
Determine the greatest number
Determine the greatest number
Source:
January 24, 2016
Problem Statement
Determine the greatest number m such that the system
x
2
x^2
x
2
+
y
2
y^2
y
2
= 1; |
x
3
x^3
x
3
-
y
3
y^3
y
3
|+|x-y|=
m
3
m^3
m
3
has a solution.
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