college algebra

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Rational equation

-5/x-3 - 3/x+3=2/x^2-9
how do I solve?

  • college algebra -

    multiply everything by x^2-9, which gives you:
    -5(x+3)-3(x-3)=2
    Have fun!

  • college algebra -

    9(x+3)-3(x+3)=2
    9x+27+3-9=2
    6x-36
    6x=48
    x=8

    Is this right?

  • college algebra -

    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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