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

##### 2 Answers

Jul 17, 2018

#### Explanation:

#"multiply both sides by "y-2#

#cancel(y-2)xx5/cancel(y-2)=(y+2)(y-2)#

#5=y^2-4#

#"add 4 to both sides"#

#9=y^2#

#color(blue)"take the square root of both sides"#

#+-sqrt9=ylarrcolor(blue)"note plus or minus"#

#rArry=+-3#

Jul 17, 2018

#### Explanation:

First of all it must be

so we get

adding

so we get