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For \(a\) a positive real number, let \(x_1, x_2, x_3\) be the roots of the equation \(x^3-ax^2+ax-a=0\). Determine the smallest possible value of \(x_1^3 + x_2^3+x_3^3-3x_1x_2x_3\).

 Apr 15, 2019
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The answer is 18.

 Nov 29, 2019

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