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Math Help - Solving cubic equations with unknowns

  1. #1
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    Solving cubic equations with unknowns

    Hi,

    As a small part of my Folio task I have to solve the following equation in terms of x, where a is a constant:

    (x)^3 -2a(x)^2 +a^3 = 0

    I'm just having quite a bit of trouble getting all of the x terms over to one side. This is just a small algebra thing that's gotten me stumped in a calculus paper.
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  2. #2
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    Re: Solving cubic equations with unknowns

    The x terms ARE all on one side...
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  3. #3
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    Re: Solving cubic equations with unknowns

    The left hand side factorises to (x-a)(x^2-ax-a^2)
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    Re: Solving cubic equations with unknowns

    Thank you so much biffboy!
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    Re: Solving cubic equations with unknowns

    Quote Originally Posted by lilac776 View Post
    (x)^3 -2a(x)^2 +a^3 = 0
    With a cubic of that style (1st and last terms are cubes),
    long division by (x + a) always a good idea...
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