Question

calcule a divisão de ( 3+ 2i) por ( 4 - 3i )​

Answer 1

Explicação passo-a-passo:

$\sf \dfrac{3+2i}{4-3i}$

$\sf =\dfrac{3+2i}{4-3i}\cdot\dfrac{4+3i}{4-3i}$

$\sf =\dfrac{12+8i+9i+6i^2}{4^2-(3i)^2}$

$\sf =\dfrac{12+8i+9i+6\cdot(-1)}{16-9i^2}$

$\sf =\dfrac{12+8i+9i-6}{16-9\cdot(-1)}$

$\sf =\dfrac{12-6+8i+9i}{16+9}$

$\sf =\dfrac{6+17i}{25}$

$\sf =\red{\dfrac{6}{25}+\dfrac{17i}{25}}$