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Math Help - Solving Equations

  1. #1
    Member princess_anna57's Avatar
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    Smile Solving Equations

    3x^2 - x - 2 = 0

    x = 1
    Is there another solution to this equation ie another number that can be x?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by princess_anna57 View Post
    3x^2 - x - 2 = 0

    x = 1
    Is there another solution to this equation ie another number that can be x?
    yes, princess, there is. in fact, quadratics always have two solutions (though there may be a repeated root, but whatever )

    note that 3x^2 - x - 2 = (3x + 2)(x - 1)

    now for that to equal zero, we must have 3x + 2 = 0 or x - 1 = 0. those give you your two solutions
    Last edited by Jhevon; July 11th 2008 at 01:56 PM. Reason: Ecirbaf reminded me of something
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  3. #3
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    The other solution

    If you get a solution '1' and b^2-4*a*c (=(-1)^2-4*3*-1=25) isn't 0, it does exist another one, c/a( = -2/3).
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