Question

Gasiti a,b stiind ca (1+i)/(1-i)=a+bi

Answer 1

z=1+i/1-i ; z cobjugat=(1+i)^2 supra (1-i)(1+i)=1+2i+i^2 supra 1+1=1-1+2i supra 2=2i supra2=a+bi=i de unde a=0 si b=1