Question

X+1/x=a x-1/x=b so a^2-b^2=?

Answer 1

The answer is given below :

Given,

x + 1/x = a .....(i)

and

x - 1/x = b .....(ii)

Adding (i) and (ii), we get

a + b = 2x

and on subtraction, we get

a - b = 2/x

Now,

a² - b²

= (a + b)(a - b)

= 2x × 2/x

= 4

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