## Can you explain how to do this?

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.

### Can you explain how to do this?

I have had so much trouble with this rational equation. I need to solve it. The answer is 6.

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

Thanks very much!

Posts: 2
Joined: Sat Sep 22, 2012 1:50 pm

### Re: Can you explain how to do this?

Multiply each term by (x-2)(x+2).
Cancel factors which the numerator and denominator have in common:

$\frac{x}{x-2}-\frac{1}{x+2}=1$

$\frac{x}{x-2}\times\frac{(x-2)(x+2)}{1}-\frac{1}{x+2}\times\frac{(x-2)(x+2)}{1}=1\times\frac{(x-2)(x+2)}{1}$

$x(x+2)-(x-2)=(x-2)(x+2)$

The rest is history:

$x^2+2x-x+2=x^2-4$

$x+2=-4$

$x=-6$
Matt

Posts: 10
Joined: Mon May 18, 2009 3:30 pm

### Re: Can you explain how to do this?

Thank you very much!

Posts: 2
Joined: Sat Sep 22, 2012 1:50 pm