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Math Help - Trig is awful..ish...haha help figuring this out pls?

  1. #1
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    Red face Trig is awful..ish...haha help figuring this out pls?

    fraction decomposition

    (4x+44)/(x^2+12x+32)
    annnd
    (2x+5)/(x^2-6x+9)

    thanks a ton!
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  2. #2
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    Re: Trig is awful..ish...haha help figuring this out pls?

    Solution:
    Given 4x+44/(x+12+32)=4x+44/[(x+8)(x+4)]
    4x+44/[(x+8)(x+4)]=A/(x+8)+B/(x+4)
    4x+44=A(x+4)+B(x+8).........(1)
    put x=-4 in (1)
    we get B=7
    put x=-8 in (1)
    we get A=-3
    there for the 4x+44/(x+12+32)=-3/(x+8)+7(x+4)

    Solution:
    Given 2x+5/(x-6x+9)=2x+5/(x-3)
    2x+5/(x-3)=A/(x-3)+B/(x-3)
    2x+5=A(x-3)+B(x-3)
    2x+5=A(x+9-6x)+B(x-3)
    2x+5=Ax+(-6A+b)x-9A-3B...(1)
    solving (1) we get A=0
    B=2
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    Re: Trig is awful..ish...haha help figuring this out pls?

    Trig is awful..ish...haha help figuring this out pls?-19-aug-2013.png
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  4. #4
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    Re: Trig is awful..ish...haha help figuring this out pls?

    This is algebra, not trigonometry...
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