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Let `x_1, x_2, x_3` satisfying the equation `x^3 - x^2 + betax + gamma = 0` are in GP where `(x_1, x_2, x_3 > 0)`, then the maximum value of `[beta] + [gamma] + 2` is, [.] is greatest integer function.

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VIKAS GUPTA (BLACK BOOK) ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
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