Question

if x+1/x=6 find x-1/x​

Answer 1

Answer:

(x - 1/x) = √30

Step-by-step explanation:

(x + 1/x)² = x² + (1/x)² + 2

Given: (x + 1/x) = 6

(x + 1/x)² = 36

36 = x² + (1/x)² + 2

34 = x² + (1/x)²

(x - 1/x)² = x² + (1/x)² - 2

(x - 1/x)² =32 - 2 = 30

(x - 1/x) = √30