Question

How do you solve the rational equation `7/(x-4) = 1 + 9/(x+4)`?

Answer 1

`7(x+4)=1(x-4)(x+4)+9(x-4) ->7x+28=x^2-16+9x-36 ->0=x^2+2x-80 ->0=(x+10)(x-8) -> x=-10 or x=8`

Explanation:

First, multiply everything on both sides by the common denominator and simplify. Then put everything on one side and solve for x.