Question

If x² 1/x²=83, was hen find the value of x-1/x

Answer 1

Step-by-step explanation:

• $we \: know \: that \: \: \: \:(x - \frac{1}{x}) {}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2$
• $= > (x - \frac{1}{x} ) {}^{2} = 83 - 2$
• $= > (x - \frac{1}{x} ) {}^{2} = 81$
• $= > x - \frac{1}{x} = 9$
• Hence the required answer. I hope it will help you. Thank you