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–q2 = –44


q2 + 7q–44 = 0


q2 + 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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