if p+q=√13 and p-q=√5, what is the value of pq?
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Answer:
If ( p + q ) = √13 and ( p – q ) = √5 then the value of pq is –
Solution:
Given that
p + q = √13
Squaring both sides, we get
( p + q )2 = 13
( p – q )2 + 4 pq = 13
( √ 5 )2 + 4pq = 13
5 + 4pq = 13
4pq = 13 – 5
4pq = 8
pq = 8/4
pq = 2
The required answer is ( a ) 2
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