Question

If x + 1/x = 6 then find x - 1/x​

Answer 1

Answer:

-4

maybe

Step-by-step explanation:

x + 1/x = 6

x+1= 6x

1= 5x

x=1/5

now, x - 1/x

1/5 - 1/1/5

-4/5 x 5/1= -4

Answer 2

x + 1/x = 6

squaring both sides

(x + 1/x)² = 6²

x² + 1/x² + 2*x*1/x = 36

x² + 1/x² + 2 = 36

x² + 1/x² = 36 - 2

x² + 1/x² = 34 -------- (1)

we know that

(x - 1/x)² = x² + 1/x² - 2*x*1/x

(x - 1/x)² = 34 - 2 (substitute from (1)

(x - 1/x)² = 32

x - 1/x = ±√32