Question

How do you solve `x+1/x=4`?

Answer 1

`therefore x = 2 +-sqrt3`

Explanation:

`x+1/x=4`

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

`x^2 + 1 = 4x`

`x^2 -4x + 1 = 0`

`x^2 - 4x + 4 - 4 + 1 = 0`

`(x-2)^2 = 3`

`x - 2 = +-sqrt3`

`therefore x = 2 +-sqrt3`