Question

If x^2 + 1 / x^2 =66
Find x - 1 / x

Answer 1

Solution is in the attachment..

Answer 2

Answer:

x - 1/x = 8

Step-by-step explanation:

x² + 1/x² = 66

x² + 1/x² = 64 + 2

x² + 1/x² = 64 + 2*x*1/x

x² - 2*x*1/x + 1/x² = 64

(x - 1/x)² = 64

x - 1/x = √64

x - 1/x = 8

Hope this helps! :)