trigonometry

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what are the solution sets to x^5-2x^3+x=0 and how do you get them?

  • trigonometry -

    the answers are 1,-1, and 0 but i'm not sure how to explain how i got them.

  • trigonometry -

    x^5 - 2x^3 + x = 0
    x(x^4 - 2x^2 + 1) = 0
    x(x^2 - 1)^2 = 0
    so x = 0 or x^2 - 1 = 0 --->(x+1)(x-1) = 0
    x = 0 or x =1 or x = -1

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