Question

If `x + (1)/x = 3`; find `x^4 + (1)/x^4`

Answer 1

squaring both sides of the equation `(x^2 + (1)/x^2)` = 7 , we get:

`x^4 + (1)/x^4 + 2`

= 49

`x^4 + (1)/x^4`

= 47.