Question

sovle the following equation

8/x-1=9/(x)(x+2)

i know the answer is -1,7 but how?

Answer 1

I subbed your solution values into the equation the way you typed it and neither solution works

they do work if you meant

8/x - 1 = 9/(x(x+2)) ,
so I will start from there

multiply each term by x(x+2)

8(x+2) - x(x+2) = 9
8x + 16 - x^2 - 2x = 9
x^2 -6x -7 = 0
(x-7)(x+1) = 0
x = 7 or x = -1