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Math Help - Finding the root question

  1. #1
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    Finding the root question

    1. Calculate the greatest root of 2x^3-4x^2-3x+1=0, to three decimal places.Show all steps
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  2. #2
    Eater of Worlds
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    See here: The Cubic Formula

    Plug in your a=2, b=-4, c=-3, d=1 into that cumbersome formula.

    Yes, there is a formula (like the quadratic formula) for cubics. It is rather large by comparison, but will work.
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  3. #3
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    Quote Originally Posted by shane99 View Post
    1. Calculate the greatest root of 2x^3-4x^2-3x+1=0, to three decimal places.Show all steps
    The fact that a decimal approxiation is required suggests that you're meant to use technology (graphics calculator, CAS, whatever you've been taught to use). Most likely, graph y = 2x^3-4x^2-3x+1 and use the technology to get the largest x-intercept.
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