Question

o quociente de z=3 +2i por w=1+i é

Answer 1

$\frac{z}{w}=\frac{3+2i}{1+i}$

$=\frac{\left(3+2i \right )\cdot\left(1-i \right )}{\left(1+i \right ) \cdot \left(1-i\right)}$

$=\frac{3-3i+2i-2i^{2}}{1-i+i-i^{2}}$

$=\frac{3-i-2\cdot\left(-1 \right )}{1-\left(-1 \right )}$

$=\frac{3-i+2}{1+1}$

$=\boxed{\frac{5-i}{2}}$