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Math Help - Equations with fractions

  1. #1
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    Equations with fractions

    \frac {x}{4} - \frac{2x-1}{x+1} = 1<br />

    x(x+1) - 4(2x-1) = 1(4)(x+1)

    x^2 + x - 8x - 4 = 4x + 4

    x^2 + x - 8x - 4 - 4x - 4 = 0

    x^2 - 11x - 8 = 0

    From there I factorise it to get the answer, but the answer it's supposed to be is 0 , 11
    I can't see how that would work out unless it's just x^2 - 11x I think there may be a problem with the fours maybe but I'm not sure.
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by zyx.gar View Post
    \frac {x}{4} - \frac{2x-1}{x+1} = 1<br />

    x(x+1) - 4(2x-1) = 1(4)(x+1)

    x^2 + x - 8x - 4 = 4x + 4 e^(i*pi): -4*-1 = 4 not -4

    x^2 + x - 8x +4 - 4x - 4 = 0

    x^2 - 11x = 0

    From there I factorise it to get the answer, but the answer it's supposed to be is 0 , 11
    I can't see how that would work out unless it's just x^2 - 11x I think there may be a problem with the fours maybe but I'm not sure.
    See the comment in red, x^2-11x=0 is the correct expression and should be easy to solve for the given solutions
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  3. #3
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    Yeah I see what I've done there I had it all out of order on my pad. Thanks.
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  4. #4
    Senior Member pacman's Avatar
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    the graph is beautiful, see




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