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Given that the cubic ax^3-ax2 + 9bx-b = ...

Given that the cubic `ax^3-ax2 + 9bx-b = 0 (a!=0)` has all three positive roots. Find the harmonic mean of the roots independent of a and b, hence deduce that the root are all egual. Find minimum value of (a + b) if a and `b in N`.

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