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

2 Answers
Jul 17, 2018

y=+-3

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

y=pm3

Explanation:

First of all it must be yne 2, and we can multiply the whole equation by y-2 and we get

5=(y-2)(y+2) now we use that

(a-b)(a+b)=a^2-b^2

so we get

5=y^2-4

adding 4

9=y^2

so we get y=pm 3