Question

Resolva a equação 2z + conjugado de z = 15 - 2i

Answer 1

$2 \cdot (a+bi)+(a-bi) = 15-2i \\\\ 2a+2bi+a-bi = 15-2i \\\\ 3a+bi = 15-2i \\\\ \Rightarrow 3a = 15 \\\\ a = \frac{15}{3} \\\\ \boxed{\boxed{a = 5}} \\\\\\ \boxed{\boxed{b = -2}}$

Portanto Z é:

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