Q1 of 53 Page 77

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

pq = –24 and p + q = 2

As, p + q = 2

⇒p = 2–q


putting the value of q in other equation,


⇒ pq = –24


⇒ (2–q)q = –24


⇒2q–q2 = –24


⇒q2–2q–24 = 0


⇒q2–6q + 4q–24 = 0


⇒q(q–6) + 4(q–6) = 0


⇒ (q + 4)(q–6) = 0


so, q = –4 & q = 6


as, p = 2–4


thus, p = 2 + 4 & p = 2–6


p = 6 & p = –4


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