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!

JRFPLSHelp Aug 10, 2024