Q1 of 53 Page 77

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

pq = 18 and p + q = 11

as, p + q = 11

⇒p = 11–q


putting the value of q in other equation,


⇒ pq = 18


⇒ (11–q)q = 18


⇒11q–q2 = 18


⇒q2–11q + 18 = 0


⇒q2–2q–9q + 18 = 0


⇒q(q–2)–9(q–2) = 0


⇒ (q–2)(q–9) = 0


So, q = 2 & q = 9


As, p = 11–q


Thus, p = 11–2 = 9 & p = 11–9 = 2


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