Question

{x^{2} +1/x^{2} }=66 find x-1/x

Answer 1

x = ± 8

Explanation:

Note that

(x -
`(1)/(x)`)² = x² - 2 +
`(1)/(x^2)` = 66 - 2 = 64

Take the square root of both sides

x -
`(1)/(x)` = ±
`√(64)` = ± 8

Answer 2

Explanation:

The solution is attached herewith.