Question

calcule o valor de 2+i dividido por 5-3i

Answer 1

$\frac{2+i}{5-3i} . \frac{5+3i}{5+3i}$

(2+i)(5+3i) = 2*5+2*3i+5i+i*3i = 10+6i+5i+3i² = 7+11i

(5-3i)(5+3i) = 5²-(3i)² = 25-9*(-1) = 25+9 = 34

$\frac{7+11i}{34} = \frac{7}{34}+ \frac{11}{34} i$