Question

factorisation
In the following,you are given the product pq and sum p+q determine p and q
1.pq =18 & p+q= 11
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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1 A

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1 F

2 A

2 B

2 C

2 D

2 E

2 F

3 A

3 B

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Q. 1 A

3.8

( 21 Votes )

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

pq = 18 and p + q = 11

Class 8th

Karnataka Board - Mathematics Part I

4. Factorisation

Answer :

as, p + q = 11

⇒p = 11–q

putting the value of q in other equation,

⇒ pq = 18

⇒ (11–q)q = 18

⇒11q–q2 = 18

⇒q2–11q + 18 = 0

⇒q2–2q–9q + 18 = 0

⇒q(q–2)–9(q–2) = 0

⇒ (q–2)(q–9) = 0

So, q = 2 & q = 9

As, p = 11–q

Thus, p = 11–2 = 9 & p = 11–9 = 2