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Let  \(a, b, \) and \(c\) be distinct real numbers such that \((a^3 +6)/a = (b^3 +6)/b = (c^3 +6)/c\)
Find \(a^3 +b^3 +c^3\)

 

Thanks in advance.

 Jul 27, 2020
 #1
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a^3 + b^3 + c^3 = 18.

 Jul 27, 2020

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