If x−1x=−1, find the value of x2+1x2.
x−1x=−1
Squaring both sides,
(x−1x)2=(−1)⇒x2+1x2−2=1∴ x2+1x2=1+2=3
If x+1x=11, find the value of x2+1x2.
If x2+1x2=66, find the value of x−1x.
If x+1x=20, find the value of x2+1x2.