Question

x²+1/x²=18 then find the value of x-1/x​

Answer 1

Answer:

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Step-by-step explanation:

Given Equation is x² + 1/x² = 18

= > x²+ (1/x²) = 2 + 16

= > xx² + (1/x²) - 2 = 16

We can write it as,

= > x² + (1/x² ) - 2 × x × (1/x) = 16

We know that a² + b² - 2ab = (a - b)²

= > (x - 1/x)x² = 16

= > (x - 1/x) = +4, -4