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Math Help - Getting to the root of the equation

  1. #1
    Member M670's Avatar
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    Getting to the root of the equation

    The equation has two roots. Find the smaller and larger one?

    so I came up with 2x2e-5x(3-3x)=0

    Just not sure where to go from here?
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Re: Getting to the root of the equation

    Quote Originally Posted by M670 View Post
    The equation has two roots. Find the smaller and larger one?

    so I came up with 2x2e-5x(3-3x)=0

    Just not sure where to go from here?
    You need to use the zero product principle. This would give

    2x^2=0 \quad e^{-5x}=0 \quad 3-3x=0

    Only two of these equations have solutions.
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