Q. 1 F4.6( 8 Votes )

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

pq = –44 and p + q = –7

Answer :

p + q = –7

⇒p = –7–q

putting the value of q in other equation,

⇒ pq = –44

⇒ (–7–q)q = –44

⇒–7q–q^{2} = –44

⇒q^{2} + 7q–44 = 0

⇒q^{2} + 11q–4q–44 = 0

⇒q(q + 11)–4(q + 11) = 0

⇒ (q–4)(q + 11) = 0

so, q = 4 & q = –11

as, p = –7–q

thus, p = –7–4 & p = –7 + 11

p = –11 & p = 4

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