Question

If (x-1/x)=12 find the value of x square +1/x square

Answer 1

Here , we have : x-1/x=12
first we find the value of x=?
x-1/x=12
x-1=12x
x-12x=1
-11x=1
x= -1/11
Now, the value of (x= -1/11) put in (x square + 1/x square), we get...,

= x sq + 1/x sq
= (-1/11)sq + 1/(-1/11)sq
= 1/121 + 121
= 1+ 14741/121
= 14742/121
= 121.8 answer.