Question

помогите решить 2 и 3 номер

Answer 1

$2. \ z1 = 5-6i; z2 = -2+3i \ \ z1 + z2 = 5 - 6i -2 + 3i = 3-3i \ \ z1 - z2 = 5 - 6i + 2 - 3i = 7 - 9i \ \ z1 * z2 = (5-6i)*(-2+3i) = -10+15i+12i-18*(-1)=8+27i \ \ frac{z1}{z2} = frac{5-6i}{-2+3i} = frac{(5-6i)*(-2-3i)}{(-2+3i)*(-2-3i)} = frac{-10-15i+12i-18}{13} = frac{-28-3i}{13} = frac{-28}{13}+frac{-3i}{13} \ \ \ 3.\ x^2-10x+34 = 0 \ D = 100 - 136 = -6 = (sqrt{6i})^2 \ \ x_1=frac{10+6i}{2} = 5 + 3i ; x_2 = frac{10-6i}{2} = 5 - 3i \ \ \ x^2-16x+65 = 0 \ D = 256 - 260 = -4 = (sqrt{2i})^2 \ \ x_1=frac{16+2i}{2} = 8 + i ; x_2 = frac{16-2i}{2} = 8 - i$