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If the roots of the equation x^3 + px^2 + qx + r = 0 are in A.P then show that 2p^3 – 9pq + 27r = 0.

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If the roots of the equation x3 + px2 + qx + r = 0 are in A.P then show that 2p3 – 9pq + 27r = 0.

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Let the roots of the given equation is a – d, a, a + d

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