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Curious Cubic Triplet(s) (Posted on 2009-05-16) Difficulty: 3 of 5
Determine all possible triplet(s) (a, b, c) of positive real numbers, with a ≤ b ≤ c, that satisfy the following system of equations:

a3 3a = b, and:

b3 3b = c, and:

c3 3c = a

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
too bad they all have to be positive (spoiler present)Charlie2009-05-16 17:04:01
Analytic solutionDaniel2009-05-16 13:42:28
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