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Let P(x) be a cubic polynomial and alpha...

Let `P(x)` be a cubic polynomial and `alpha, beta, gamma` are roots of equation `P(x) = 0`. If `((P(1/2)+P(-1/2))/(P(0)))=100` then the value of `(1/2sqrt(1/(alphabeta)+1/(beta gamma)+1/(gamma alpha)))` is equal to

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