Question

Determine o número complexo z tal que 5z+z=12+16i. (Obs:considere z=a+bi)

Answer 1

6z = 12 + 16i
6(a + bi) = 12 + 16i
6a + 6bi = 12 + 16i

6a = 12
a = 2

6b = 16
b = 16/6
b = 12/3

Logo z = 2 + (12/3)i