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The condition that the roots of x^3 +3 p...

The condition that the roots of `x^3 +3 px^2 +3qx +r = 0` may be in `H.P.` is

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show that the condition that the roots of x^3 + 3 px^2 + 3 qx +r=0 may be in h.P is 2q^3=r (3 pq -r)

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