Question

x+1/x=11 then find x-1/x=?​

Answer 1

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.

Answer 2

Answer:

x=9.9

Step-by-step explanation:

$\frac{x + 1}{x} = 11 \\ x + 1 = 11x \\ 1 = 11x - x \\ = 10x = 1 \\ x = \frac{1}{10} \\ \frac{x - 1}{x} = \frac{1}{10} - 1 \times 10 = \frac{1}{10} - 10 = \frac{1 - 100}{10} = \frac{99}{10} = 9.9$