Question

How do you solve `x+40/x-13=0`?

Answer 1

`x=`either `5` or `8`

Explanation:

`x+40/x-13=0`

Multiply through by `x ->`
`x^2+40-13x=0`
`x^2-13x+40=0`

Factorise:
`(x-5)(x-8)=0`

`:.`either `x-5 = 0 -> x=5`
or `x-8=0 -> x=8`

Hence: `x=`either `5` or `8`