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Thread: Rational equations!!! please help

  1. October 15th 2012, 02:06 PM #1
    DeziB
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    Rational equations!!! please help

    how to solve 3/x+4 minus 8/x-4 =11/x^2-16
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  2. October 15th 2012, 02:43 PM #2
    amthomasjr
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    Re: Rational equations!!! please help

    Start by getting a common denominator with the terms on the left side of the equal sign.

    \frac{3(x-4)}{(x+4)(x-4)}-\frac{8(x+4)}{(x-4)(x+4)}

    Can you take it from there?
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  3. October 15th 2012, 03:57 PM #3
    Soroban
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    Re: Rational equations!!! please help

    Hello, DeziB!

    \text{Solve for }x\!:\;\frac{3}{x+4} - \frac{8}{x-4} \:=\:\frac{11}{x^2-16}

    We are given: . \frac{3}{x+4} - \frac{8}{x-4} \;=\;\frac{11}{(x-4)(x+4)}


    Multiply by (x\!-\!4)(x\!+\!4)\!:\;\;3(x-4) - 8(x+4) \:=\:11


    Got it?
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