Question

How do you solve `5/(x^2-4)+2/x=2/(x-2)`?

Answer 1

I found: `x=8`

Explanation:

Have a look:

Answer 2

`x=8`

Explanation:

`5/(x^2-4)+2/x=2/(x-2)`
or
`5/(x^2-4)=2/(x-2)-2/x`
or
`5/(x^2-4)=(2x-2(x-2))/(x(x-2))`
or
`5/((x+2)(x-2))=(2x-2x+4)/(x(x-2))`
or
`5/(x+2)=4/x`
or
`5x=4x+8`
or
`5x-4x=8`
or
`x=8`