Q1 of 53 Page 77

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

pq = 32 and p + q = –12

As, p + q = –12

⇒p = –12–q


putting the value of q in other equation,


⇒ pq = 32


⇒ (–12–q)q = 32


⇒–12q–q2 = 32


⇒q2 + 12q + 32 = 0


⇒q2 + 8q + 4q + 32 = 0


⇒q(q + 8) + 4(q + 4) = 0


⇒ (q + 4)(q + 8) = 0


so, q = –4 & q = –8


as, p = –12–q


thus, p = –12 + 4 & p = –12 + 8


p = –8 & p = –4


More from this chapter

All 53 →
3

Factorise:

(5a – 2b)2 – (2a – b)2

 1

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

pq = 18 and p + q = 11

 1

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

pq = –24 and p + q = 2

 1

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

pq = –12 and p + q = 11