Question

Выполнить все действия с числами
Z1=-1+5j
Z2=3-6j

Answer 1

$1)z_{1} +z_{2}=-1+5i+3-6i=2-i\\\\2)z_{1}-z_{2} =-1+5i-3+6i=11i-4\\\\3)z_{1}*z_{2}=(-1+5i)(3-6i)=-3+6i+15i-30i^{2} =\\\\=-3+21i-30*(-1)=3+21i+30=21i+33$

$4)z_{1}:z_{2}=\frac{-1+5i}{3-6i}=\frac{(-1+5i)(3+6i)}{(3-6i)(3+6i)}=\frac{-3-6i+15i+30i^{2} }{3^{2}-(6i)^{2}} =\frac{-3+9i+30*(-1)}{9-36*(-1)}=\\\\=\frac{-3+9i-30}{9+36}=\frac{9i-33}{45}=\frac{3i-11}{15}$