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Math Help - Help!

  1. #1
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    Help!

    1. By eliminating the denominator, 5 + x/2x - 1 = x + 1/x

    2. Solve for x: 3/2x +1 = x/2

    3. 3x -7/2x - 3x-3/6x^2



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  2. #2
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    earboth's Avatar
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    Re: Help!

    Hello,

    please use brackets, otherwise your equations are nearly unreadable!
    Quote Originally Posted by firecrack123 View Post
    [COLOR=#000000][FONT=Helvetica Neue]1. By eliminating the denominator, 5 + x/2x - 1 = x + 1/x
    I assume that you mean:
    \frac{5+x}{2x-1} = \frac{x+1}x~,~x\in \mathbb{R} \setminus \lbrace 0, \tfrac12 \rbrace

    If so: Multiply through by x*(2x-1). You'll get:

    (5+x) x = (x+1)(2x-1)~\implies~5x+x^2=2x^2+x-1 \\ x^2-4x-1=0

    Now use the formula to solve a quadratic equation.

    2. Solve for x: 3/2x +1 = x/2
    I assume that you mean:
    \frac3{2x+1} = \frac x2~,~x\in\matbb{R}\setminus \lbrace -\tfrac12 \rbrace
    If so: Multiply through by 2*(2x+1). You'll get:

    3 \cdot 2 = x \cdot (2x+1)~\implies~6=2x^2+x \\ 2x^2+x-6=0

    Now use the formula to solve a quadratic equation.


    3. 3x -7/2x - 3x-3/6x^2
    I leave the last one for you.
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