Question

If (x+1/x)=6 then (x-1/x) = ​

Answer 1

Step-by-step explanation:

(a+b) ^2=(a-b)^2+4ab

(x+1/x) ^2=(x-1/x)^2+4x.1/x

(6)^2=(x-1/x)^2+4

36=(x-1/x)^2+4

(x-1/x) ^2=32

x-1/x=√32=4√2

Answer 2

Step-by-step explanation:

x+1/x= 6

so,

(x+1/x)^2= (6)^2

x^2 +1/x^2 +2= 36

x^2+1/x^2= 34.........................(1)

let x-1/x=y

(x-1/x)=y

(x-1/x)^2= y^2

x^2+1/x^2-2=y^2

34-2=y^2

32=y^2

32 in root =y

4 root 2= y