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

I do not understand the notation.
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answered by Damon has no idea 
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/howtosolvex6x5x4x3x2x10 👍
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answered by Steve
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