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Math Help - fraction - where am i going wrong?

  1. #1
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    fraction - where am i going wrong?

    hi, this is my question:

    fraction - where am i going wrong?-fraction.jpg

    for this i then used the box method on X+1 and x+2 to get the denominator and timesed 4 by x+1 and 3 by X+2 to get this:

    fraction - where am i going wrong?-fraction2.jpg

    i then simplified it to get this:

    fraction - where am i going wrong?-fraction3.jpg

    i then times the bottom of the fraction by 2 which =

    fraction - where am i going wrong?-fraction4.jpg

    i then work it out to get this:
    fraction - where am i going wrong?-fraction5.jpg


    [IMG]file:///C:/DOCUME%7E1/Andrew%21/LOCALS%7E1/Temp/moz-screenshot.png[/IMG][IMG]file:///C:/DOCUME%7E1/Andrew%21/LOCALS%7E1/Temp/moz-screenshot-1.png[/IMG]
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  2. #2
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    from this i get a quadratic equation which looks like this:
    fraction - where am i going wrong?-fraction6.jpg

    then i get this for the next part but when i worked it out i got -7 in the square root and that wouldn't work! where am i going wrong?

    fraction - where am i going wrong?-fraction7.jpg
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  3. #3
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    e^(i*pi)'s Avatar
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    You appear to have a sign error between the question and step 2.

    Question: \dfrac{3}{x+1} - \dfrac{4}{x+2} = 2

    You've mixed some signs up because what you should get is \dfrac{3(x+2) - 4(x+1)}{(x+1)(x+2)}. When simplified it becomes
    \dfrac{3x+6-4x-4}{x^2+3x+2} = \dfrac{-x+2}{x^2+3x+2} = 2
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  4. #4
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    hi, after the changes would the quadratic equation then look like this:

    fraction - where am i going wrong?-quadratic-equation.jpg
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