The question is stated as following:
"First, solve the equation:
$ω^2=-11/4+15i$
and after, with the help of that, solve:
$z^2-(3-2i)z+(4-18i)=0$"
The problem for me lies in solving the system of equations for ω;
$Re:a^2-b^2=-11/4$ and $Im:2ab=15$
Where I eventually end up with the fourth degree equation: $4b^4+11b^2+15^2=0$ which I don't know how to solve, is this solveable or am I on the wrong track? I would very much appreciate some help, thank you for your time.
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