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

Mar 3, 2016

y = ± 3

#### Explanation:

To solve can $\textcolor{b l u e}{\text{ cross multiply }}$

consider the equation as $\frac{5}{y - 2} = \frac{y + 2}{1}$

now ' cross multiplying " gives

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

distribute the brackets : ${y}^{2} - 4 = 5 \Rightarrow {y}^{2} = 9$

so  y^2 = 9 rArr y = sqrt9 = ± 3