Question

If `x^2-3x+1=0`, what is the value of `x^2+1/x^2`?

Answer 1

Ans=`7`

Explanation:

`x^2-3x+1=0` given.
Now,LHS
`x^2+1/x^2`
=`(x+1/x)^2-2`
=`((x^2+1)/x)^2-2`
Putting the value of (`x^2+1`)=3x
=`3^2-2`
=`7`