Пошаговое объяснение:
z₁=-5-8i
z₂=-3-8i
z₁+z₂=-5-8i-3-8i=-8-16i
z₁-z₂=-5-8i+3+8i=-2
z₁*z₂=(-5-8i)*(-3-8i)=-3(-5-8i)-8i(-5-8i)=15+40i+40i+64i²=15-64+80i=-49+80i
z₁/z₂=(-5-8i)/(-3-8i)=(5+8i)/(3+8i)=(5+8i)*(3-8i)/(3²-(8i)²)=(5+8i)*(3-8i)/(9+64)=
=(5+8i)*(3-8i)/73=(3(5+8i)-8i(5+8i))/73=(15+24i-40i-64i²)/73=(15+64-16i)/73=
= 79/73 - 16i/73
Пошаговое объяснение:
z₁=-5-8i
z₂=-3-8i
z₁+z₂=-5-8i-3-8i=-8-16i
z₁-z₂=-5-8i+3+8i=-2
z₁*z₂=(-5-8i)*(-3-8i)=-3(-5-8i)-8i(-5-8i)=15+40i+40i+64i²=15-64+80i=-49+80i
z₁/z₂=(-5-8i)/(-3-8i)=(5+8i)/(3+8i)=(5+8i)*(3-8i)/(3²-(8i)²)=(5+8i)*(3-8i)/(9+64)=
=(5+8i)*(3-8i)/73=(3(5+8i)-8i(5+8i))/73=(15+24i-40i-64i²)/73=(15+64-16i)/73=
= 79/73 - 16i/73