Let z1; z2; z3; z4 be four complex numbers on the unit circle (i.e., |z1|=|z2|=|z3|=|z4|=1).
It is known that z1+z2+z3+z4=1+i . Find the value of
1/z = barZ/|z|^2
The Attempt at a Solution
I've been trying for about a day now and i just have no clue absolutely, I understand that
[b -a]/ [ab] = [1/a] - [1/b]
but i think there's something to do with conjugates or something this question is quite fustrating.
i also tried letting z1 + z2 + z3 + z4 = w
and then w*(barW) but i just got 0(1+i)(1-i) and then i cant take the inverse