Question

Sa se determine Rez=? , unde z=$\frac{1-5i}{1+5i}$

Answer 1

$z= \frac{1-5i}{1+5i}= \frac{(1-5i)(1-5i)}{(1+5i)(1-5i)}= \frac{1-10i+25i^2}{1-25i^2}= \frac{-24-10i}{26}= \frac{2(-12-5i)}{2*13}= \frac{-12-5i}{13} \\ Rez=- \frac{12}{13};Imz=- \frac{5}{13}$