Question

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

Answer 1

y = ± 3

Explanation:

To solve can `color(blue)" cross multiply "`

consider the equation as `5/(y-2) = (y+2)/1`

now ' cross multiplying " gives

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

distribute the brackets : `y^2 - 4 = 5 rArr y^2 = 9`

so `y^2 = 9 rArr y = sqrt9 = ± 3`