The real number $x_{1},x_{2},x_{3}$ satisfying the equation $x^{3} - x^{2} + \beta x + \gamma = 0$ are in A.P. Find the intervals in which $\beta$ and $\gamma$ lie. - Math Practice Question | divineJEE

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The real number $x_{1},x_{2},x_{3}$ satisfying the equation $x^{3} - x^{2} + \beta x + \gamma = 0$ are in A.P. Find the intervals in which $\beta$ and $\gamma$ lie.

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