Find the relation between p and q.

If a + 1/a = p and a – 1/a = q, Find the relation between p and q.

Answer :

It is given that,

a + 1/a = p and a – 1/a = q

so,

(a + 1/a)2 – (a – 1/a)2 = 4(a) (1/a)

= 4

By substituting the values, we get

p2 – q2 = 4

Hence the relation between p and q is that p2 – q2 = 4.

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