Q. 1 C4.3( 13 Votes )

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

pq = –24 and p + q = 2

Answer :

As, p + q = 2

p = 2–q


putting the value of q in other equation,


pq = –24


(2–q)q = –24


2q–q2 = –24


q2–2q–24 = 0


q2–6q + 4q–24 = 0


q(q–6) + 4(q–6) = 0


(q + 4)(q–6) = 0


so, q = –4 & q = 6


as, p = 2–4


thus, p = 2 + 4 & p = 2–6


p = 6 & p = –4


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