Question

if x-1/x=-1 find the value of x+1/x​

Answer 1

Answer:

We have, (x+1x)2=(x−1x)2+4=1+4=5.

∴(x+1x)=±√5.

∵,x>0,∴, so is 1x; hence, x+1x>0, giving,

(x+1x)=+√5.