Question

If `x + (1)/x = 3`; find `x^2 + (1)/x^2`

Answer 1

`(x + 1/x)^2`

= `x^2 + (1)/x^2 + 2 (x) (1/x)`

⇒ (3)²

= `x^2 + (1)/x^2 + 2`

⇒ `x^2 + (1)/x^2`

= 9 - 2
= 7.