Q. 1 B3.9( 14 Votes )

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

pq = 32 and p + q = –12

Answer :

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


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