SOLUTION: (x-1/x)=5 find the value of x2+1/x2=? here i wrote x square not x 2 please note that.Thanks

Algebra ->  Equations -> SOLUTION: (x-1/x)=5 find the value of x2+1/x2=? here i wrote x square not x 2 please note that.Thanks      Log On


   

Question 241275: (x-1/x)=5 find the value of x2+1/x2=? here i wrote x square not x 2 please note that.Thanks
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
If (x-1/x)=5, then square both sides and get this:
%28x-1%2Fx%29%5E2=25
x%5E2+-2%2Ax%2A%281%2Fx%29%2B1%2Fx%5E2=25
x%5E2-2%2B1%2Fx%5E2=25
Add +2 to each side:
x%5E2%2B1%2Fx%5E2=27

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus