Q. 1 E4.1( 11 Votes )

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

pq = –6 and p + q = –5

Answer :

p + q = –5

p = –5–q


putting the value of q in other equation,


pq = –6


(–5–q)q = –6


–5q–q2 = –6


q2 + 5q–6 = 0


q2 + 6q–q–6 = 0


q(q + 6)–1(q + 6) = 0


(q–1)(q + 6) = 0


so, q = 1 & q = –6


as p = –5–q


thus, p = –5–1 & p = –5 + 6


p = –6 & p = 1


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