Question

How do you solve the rational equation `(y+2)/y = 1/(y-5)`?

Answer 1

`y=2+-sqrt(14)`

Explanation:

Multiply through by the denominators to remove the fractions.

`(y+2)(y-5)=y`

Expand and solve.

`y^2-3y-10=y`
`y^2-4y-10=0`
`(y-2)^2-14=0`
`y=2+-sqrt(14)`