i think its just let z= (w/w-2) then solve z4=1 and u get multiple solutions so resub each of them back, then solve it where w=x+iy and two of the roots would be conjugates as seen in the solution and one of the cases would not have a solution, idk why u would need to use the argan diagram so idk what they want u to do tbh
I dont know how solving that then using the argand diagram would be quicker than just doing the method above