Question

How do you solve `\frac { x - 4} { x ^ { 2} } = \frac { 1} { x ^ { 2} } - 1`?

Answer 1

`x_1,x_2=(-1+-sqrt21)/2`

Explanation:

`(x-4)/x^2-1/x^2=-1`
`(x-4-1)/x^2=-1`
`x-4-1=-x^2`
`x^2+x-5=0` `Delta=21`
`x_1,x_2=(-1+-sqrt21)/2`