Question

Determine o número complexo z tal que: 4 z + z = 12 + 6i.

Answer 1

4 z + z = 12 + 6i    ===> z = a + bi

5z = 12 + 6i

5(a + bi) = 12 + 6i

5a + 5bi = 12 + 6i

5a = 12 ==> a = 12/5

5b = 6 ===> b = 6/5