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Math Help - solve for x

  1. #1
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    solve for x

    i need help with the following problem.

    solve for x:

    1/x-1 + x/x+2 = 2
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by algebra2 View Post
    i need help with the following problem.

    solve for x:

    1/x-1 + x/x+2 = 2
    though this is not what you typed, i assume you mean \frac 1{x - 1} + \frac x{x + 2} = 2


    multiply through by (x - 1)(x + 2) we get:

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

    can you take it from here?
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  3. #3
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    i understand that you multiplied by the common denominator, but no i cannot take it from there.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by algebra2 View Post
    i understand that you multiplied by the common denominator, but no i cannot take it from there.
    do you know how to expand brackets?

    expand all the brackets, then bring everything to one side. you will end up with a quadratic equation to solve
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  5. #5
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    Continuing From Jhevon:

    x+2+x^2-x=2(x^2+x-2)
    x+2+x^2-x-2x^2+2x-4
    -x^2-2x+6=0

    And that's your quadratic equation
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