# 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 + q^{2} = 3pq

(b) 1 + p + p^{2} = 3 pq

(c) p^{3} + q + q^{2} = 3 pq

(d) q^{3} + p + q^{2} = 3 qp

**Answer: (c) p ^{3} + q + q^{2} = 3 pq**