Question

if a+1/a = p and a-1/a = q find the relation between p and q

Answer 1

Check the attachment

Answer 2

Answer:

p^2-q^2=4

Step-by-step explanation:

Adding the 2 equations given above, we get,

a+1/a+a-1/a=p+q

2a=p+q .........(1)

Now, subtracting the 2 equations, we get,

a+1/a-a+1/a=p-q  

2/a=p-q .........(2)  

Multiplying (1) and (2), we get,

2a*2/a=(p+q)(p-q)

4=p^2-pq+pq-q^2

p^2-q^2=4

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