Question

if x^2 + 1/x^2 = 18 then find the value of x-1/x

Answer 1

Answer: x - 1/x = 4

Step-by-step explanation:

Given,. x^2 + 1/x^2 = 18 ____(I)

let x - 1/x = p

Squaring both sides

(x - 1/x)^2 = p^2

x^2 + 1/x^2 - 2 = p^2

18 - 2 = p^2

p^2 = 16

So, p = x - 1/x = 4

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