Question

How do you solve `5x-\frac{1}{x}=4`?

Answer 1

`x=-1/5 or x =1`

Explanation:

Multiply everything by `x` to remove the fraction.

`5x-1/x =4` `=>5x^2-1=4x`

`5x^2-4x-1=0`

`(5x+1)(x-1)=0`

`5x+1=0 or x-1=0`

`x=-1/5 or x =1`