+38 Consider the complex numbers in the picture below:
[asy]
size(250);
import TrigMacros;
rr_cartesian_axes(-7,7,-7,7,complexplane=true, usegrid = false);
pair O, SS, T, V, U, WW;
O = (0,0);
WW = dir(65);
V = 3*dir(120);
T = 3*dir(65);
U = -2*dir(65);
SS= 4*dir(-20);
dot("$s$", SS, dir(SS));
dot("$t$", T, N);
dot("$u$", U, S);
dot("$v$", V, N);
dot("$w$", WW, N);
[/asy]
Let S be the set of all complex numbers z satisfying
for the complex number w above. Which of the complex numbers in the list: s,t,u,v,w
are in set S? Answer in any order you like, separating the list by commas.
This question confuses me and my friend has run into the same problem as me. I would appreciate help on this problem.
Thanks!
