Liczby zespolone oblicz Rez i Imza wesolamartyna23: Oblicz Rez oraz Imz jeżeli: ___ z=(2−3i) * (3+i)² / i¹²23 + 3 +2i

wesolamartyna23: miało być po znaku dzielenia i¹²³

getin: Sprzężenie 2−3i wynosi 2+3i Licznik: L = (2+3i)(3+i)² = (2+3i)(9+6i+i²) = (2+3i)(9+6i−1) = (2+3i)(8+6i) = = 16+12i+24i+18i² = 16+36i−18 = 36i−2 Mianownik: M = i¹²³+3+2i = (i²)⁶¹*i+3+2i = (−1)⁶¹*i+3+2i = −i+3+2i = 3+i

L		36i−2		(36i−2)(3−i)		108i−36i2−6+2i
	=		=		=		=
M		3+i		(3+i)(3−i)		9−i2

	110i+36−6		110i+30
=		=		= 11i + 3
	9−(−1)		10

Rez = 3 Imz = 11