część urojona

[yonagold]

Witam, dana jest taka liczba zespolona:

\(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOEaiabg2
% da9maalaaabaGaaGymaaqaaiaadMgacaWGHbGaam4zaaaacaaMc8Ua
% am4zaiaadsgacaWG6bGaamyAaiaadwgacaaMc8UaamyyaiaadEgaca
% aMc8UaeyicI4SaamOuaaaa!48F7!
\[
z = \frac{1}{{iag}}\,gdzie\,ag\, R
\]}\)

Ile wynosi część urojona liczy z ???

[Wasilewski]

Czyli mamy:
\(\displaystyle{ z = \frac{1}{iag} \frac{i}{i} = \frac{i}{-ag} = i \frac{-1}{ag} \\
\Im(z) = -\frac{1}{ag}}\)