Question

I'm not sure if my answers correct. Solve for x: 5/x^2-4+2/x=2/x-2? is the answer x=8 and x=-4?

Answer 1

We have
\[\frac{5}{x^2-4}+\frac 2 x=\frac{2}{x-2}\]
mutiply both sides by \((x^2-4)x\)
we get
\[5x+2(x^2-4)=2(x+2)(x)\]
so we get
\[5x+2x^2-8=2x^2+4x\]
we get on simplifcation
\[5x-4x=8\]
or
\[x=8\]
Did you do the same thing?

Answer 2

yah, I have the same. I went wrong by going with x=-4 it's just x=8. thank you very much.

Answer 3

welcome:D

Answer 4

thank u ;D