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Thread: Determining if an equation has one or more solutions

  1. #1
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    Determining if an equation has one or more solutions

    How can I use rolle's theorem to find if these equations have one or more solutions?

    1. f(x) = 2x 2x3
    2.
    f(x) = 2x3-4x2+2x+2
    3.
    f(x) = 2x3+ 4x + 10

    Thank you in advance
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  2. #2
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    Re: Determining if an equation has one or more solutions

    Why use Rolle's theorem? Couldn't you just check the determinant of the coefficient matrix?
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  3. #3
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    Re: Determining if an equation has one or more solutions

    Functions do not have a "solution". Were these set equal to some number, say 0? Was there some interval over which there was to be a solution?
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    Re: Determining if an equation has one or more solutions

    Quote Originally Posted by aristotle View Post
    How can I use rolle's theorem to find if these equations have one or more solutions?

    1. f(x) = 2x – 2x3
    2.
    f(x) = 2x3-4x2+2x+2
    3.
    f(x) = 2x3+ 4x + 10

    Thank you in advance
    Maybe you should post the problem as it was originally written ... I believe your attempt at paraphrasing this problem about functions and Rolle's theorem is missing some critical information.
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  5. #5
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    Re: Determining if an equation has one or more solutions

    Ok, I basically need to fill the blanks and explain my answer for every equation:

    Determining if an equation has one or more solutions-ashampoo_snap_2017.01.22_13h46m49s_001_.png
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