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.
2 answers
I do not understand the notation.
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
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
1 answer