I must find both such complex solutions and express them in Euler form and usual form.
So it's been a while since I've touched the imaginary/real plane. However, from what I remember, $z = a + bi$. If $|z| = 1$ we can assign specific values to a and b.. what would these values be?.. And how would we use the result to find specific $z$ such that $|z| = |z-1|$?