Sunday, 18 August 2013

Solving equation $z^2 + 6z + 12 - 4i = 0$

Solving equation $z^2 + 6z + 12 - 4i = 0$

How would one solve this complex number equation, I have tried
substituting $z$ by $a+ib$ but afterwards I am left with a long equation
which i do not think should be like that?
$$z^2 + 6z + 12 - 4i = 0$$

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