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Find all $z$ such that

\[(z+1)^7 = z^7.\]You do not have to put your answer in the simplest rectangular or exponential form.

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2 answers

  1. I do not understand the notation.

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  2. well, if you expand it out, the x^7 terms cancel out, and you just have to solve a 6th degree polynomial.

    I have no idea what the roots are, but they will all be complex. This article may help a bit.

    math.stackexchange.com/questions/1487231/how-to-solve-x6-x5x4-x3x2-x1-0

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