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
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 z = a + bi ==> Z = 12/5 + 6/5i