If (x−1/x)=10, then find the value of x2+1/x2.
Let, (x−1/x)=10........(1).
Now x2+1/x2
=(x−1/x)2+2.x.1/x Use : (x−1/x)2 = x2 + 1/x2 - 2.x.1/x
=(10)2+2 [Using (1)]
=102.
If x+1x=3, then find the value of x2+1x2.