Question

Find p and q if product pq=18 and p+q=11​

Answer 1

Answer:

Step-by-step explanation:

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