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Math Help - fraction equation

  1. #1
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    fraction equation

    2/X + 2/X+1 = 3


    X=1 X=?

    Dunno Wot Else X Might Equal Help!
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  2. #2
    MHF Contributor red_dog's Avatar
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    Find the common denominator and bring the equation to the form ax^2+bx+c=0
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  3. #3
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    RED DOG plz give answer
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  4. #4
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    i got like 30 seconds
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by sasha9193 View Post
    2/X + 2/X+1 = 3


    X=1 X=?

    Dunno Wot Else X Might Equal Help!
    I presume this is
    \frac{2}{x} + \frac{2}{x + 1} = 3

    To get rid of the fractions, multiply both sides by x(x  + 1)

    x(x + 1) \cdot \left ( \frac{2}{x} + \frac{2}{x + 1} \right ) = x(x + 1) \cdot 3

    2(x + 1) + 2(x) = 3x(x + 1)

    2x + 2 + 2x = 3x^2 + 3x

    4x + 2 = 3x^2 + 3x

    3x^2 - x - 2 = 0

    Now use the quadratic formula.

    -Dan
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  6. #6
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    need the answer quick dont have formula
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  7. #7
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    plz some1 submit the answer
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  8. #8
    Math Engineering Student
    Krizalid's Avatar
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    Quote Originally Posted by topsquark View Post
    3x^2 - x - 2 = 0
    \begin{aligned}3x^2-x-2&=0\\3x^2+(2x-3x)-2&=0\\(3x^2-3x)+(2x-2)&=0\\3x(x-1)+2(x-1)&=0\\(x-1)(3x+2)&=0\end{aligned}

    No quadratic formula

    Hey sasha9193, you gotta be patient, the answer depends of our time.
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