Posted by **Anonymous** on Wednesday, March 27, 2013 at 4:14pm.

Rational equation

-5/x-3 - 3/x+3=2/x^2-9

how do I solve?

- college algebra -
**Wayne**, Wednesday, March 27, 2013 at 4:23pm
multiply everything by x^2-9, which gives you:

-5(x+3)-3(x-3)=2

Have fun!

- college algebra -
**Anonymous**, Wednesday, March 27, 2013 at 5:01pm
9(x+3)-3(x+3)=2

9x+27+3-9=2

6x-36

6x=48

x=8

Is this right?

- college algebra -
**Wayne**, Thursday, March 28, 2013 at 9:36am
I apologize! I misread your equation. Multiply through by x^2 gives:

9x^2-8x-2=0. Use Quadratic Formula to get two solutions: (8+sqrt(136))/18 and (8-sqrt(136))/18. I checked, and both work!

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