Q1 of 53 Page 77

In the following, you are given the product pq and the sum p + q. Determine p and q:

pq = –6 and p + q = –5

p + q = –5

⇒p = –5–q


putting the value of q in other equation,


⇒ pq = –6


⇒ (–5–q)q = –6


⇒–5q–q2 = –6


⇒q2 + 5q–6 = 0


⇒q2 + 6q–q–6 = 0


⇒q(q + 6)–1(q + 6) = 0


⇒ (q–1)(q + 6) = 0


so, q = 1 & q = –6


as p = –5–q


thus, p = –5–1 & p = –5 + 6


p = –6 & p = 1


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