Recent content by Clouded

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    Solving a complex equation with roots of unity

    Ah, embarissing. 1=(z+1)^5/z^5 =((z+1)/z)^5 and then just using the roots of unity to find z= 1/(1-w) , w=exp(i*2k*pi/5), k=1,2,3,4.
  2. C

    Solving a complex equation with roots of unity

    Homework Statement z is a complex number. Find all the solutions of (z+1)^5 = z^5 The Attempt at a Solution Of course one could expand (z+1)^5, but I remeber our professor solving this with roots of unity. Can anyone help?