Question

Помогите вычеслить.(Хоть частично) Z1+Z2, Z1-Z2, Z1•Z2, Z1÷Z2, -Z1, ÷Z2, если Z1=2+3i, Z1=1-4i

Answer 1

Z₁+Z₂ = (2 + 3i) + (1 - 4i) = 3 - i
Z₁-Z₂ = (2 + 3i) - (1 - 4i) = 1 + 7i
Z₁·Z₂ = (2 + 3i)(1 - 4i) = 2 - 8i + 3i + 12 = 14 - 5i
$frac{Z_1}{Z_2}= frac{2+3i}{1-4i} =frac{(2+3i)(1+4i)}{1+4^2}=frac{2+8i+3i-12}{17}=frac{-10+11i}{17}=frac{-10}{17}+frac{11}{17}i \ \ frac{-Z_1}{Z_2}= -frac{Z_1}{Z_2}= frac{10}{17}-frac{11}{17}i$

Answer 2

спасибо большое.