Question

1)sa se determine z apartine nr.complexe stiind ca
a)z^2= 1-i supra 1+i

Answer 1

z^2=(1-i)^2/((1+i)(1-i)=1-2i+i^2/1-i^2=(1-2i-1)/(1+1)=-2i/2=-i=i^3
z=radi^3=iradi