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March 29, 2017

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list all roots of

1) x^5-3x^4+3x^3-x^2=0

2)8x^3-12x^2+6x-1

3) x^4=16

  • adv. alg. - ,

    Sorry, I don't remember how to do #1 and 2, but 3 is x=+-2

  • adv. alg. - ,

    Finding roots of Eqs that are 3rd degree or higher is done mostly by trial and error.However, Excel Spread sheets made the task a little easier.

    First, we find a number that will satisfy the given Eq. It was determined
    that 0 and 1 were the only numbers that
    satisfied your Eq. so the roots are:

    1. x = 0, and x = 1.

    2. I found only one root for this one:
    X = 0.50.

    3. X^4 = 16.
    Take sqrt of both sides:
    X^2 = 4,
    Take sqrt of both sides and get:
    x = +- 2.

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