what condition on p and q, one of the roots of the equation x² + px + q = 0

Under what condition on p and q, one of the roots of the equation x² + px + q = 0 is the square of the other?
(a) 1 + q + q2 = 3pq
(b) 1 + p + p2 = 3 pq
(c) p3 + q + q2 = 3 pq
(d) q3 + p + q2 = 3 qp

Anurag Mishra Professor Asked on 19th February 2016 in Maths.
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    Answer: (c) p3 + q + q2 = 3 pq

    Anurag Mishra Professor Answered on 19th February 2016.
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