Question

x+1/x = 2 then, find x-1/x​

Answer 1

Answer:

x-1/x=O

Explanation

We may construct two cases, depending on whether x>0, or x<0 ( Obviously x≠0 )

Case 1:

x>0

By applying the AM−GM inequality, we get:

x+1/x>=2

With equality holding for the case, x=1/x=1

So, x−1/x=0 , for x>0

Case 2:

x<0

If x<0 , then so is 1/x .

But, if both are less than 0 , then their sum must also be less than 0 , and hence cannot be 2 .

So, this case is void.

Hence, we get:

x−1/x=0 , for all real x satisfying x+1/x=2

Step-by-step explanation:

hope it helps.

Answer 2

Answer:

0

Step-by-step explanation:

By solving first equation ,

x+1 / x = 2

x+1 = 2x

1 = 2x-x = x

we got x as 1;

therefore x-1/1 = 1-1/1 = 0/1 = 0