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If alpha, beta gamma are the real roots ...

If `alpha, beta gamma` are the real roots of the equation `x^(3)-3px^(2)+3qx-1=0`, then find the centroid of the triangle whose vertices are `(alpha, (1)/(alpha)), (beta, (1)/(beta))` and `(gamma, (1)/(gamma))`.

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The correct Answer is:
(p, q)
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