Question

.Rezolvati in C ecuatia (1+i)z=3-i.

Answer 1

Răspuns:

S={1-2i}

Explicație pas cu pas:

$z=\dfrac{3-i}{1+i}= \dfrac{(3-i)(1-i)}{(1+i)(1-i)}=\dfrac{3-3i-1i+i^{2}}{1^{2}-i^{2}}=\dfrac{3-4i-1}{1-(-1)}=\dfrac{2-4i}{2} =\dfrac{2(1-2i)}{2}=1-2i.$

Raspuns:  S={1-2i}