Question

If x + 1/x = 11, then the value of x-1/x is =

Answer 1

Answer:

±3√13

Step-by-step explanation:

x + 1/x = 11

we know that

(x -1/x)² = (x + 1/x)² - 4

(x-1/x)² = (11)² - 4 = 117

=> x -1/x = ±√117 = ±3√13.