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Math Help - Complicated Equations

  1. #1
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    (x - 4)^5 - 9(x - 4)^3 = 0

    find all real solutions for x
    Last edited by mr fantastic; January 27th 2009 at 04:06 AM. Reason: Merged posts, clarified equation
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  2. #2
    o_O
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    To visualize this better, let u = x - 4.

    So our equation becomes: u^5 - 9u^3 = 0

    Factor out u^3 to get: u^3 (u^2 - 9) = 0

    And notice that the second factor is a difference of squares. Can you carry on from here?
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