Two equations problem

Ensien

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Jul 11, 2020
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Hi all!
I am writing an engineering project and I'm having a serious problem with these two equations. Now, the first one comes originally from the Bernoulli equation, the second one from the equation of continuity for steady hydraulic flow.
There are to variables the q (with a dash) and that strange "E" sign (also with a dash), "A", "B", "F" are some values which I cannot give as I am trying to have some kind of formula to use this in my excel program to calculate over 300 equations.
I have attached my attempt, but the only solution I can come with gives me either wrong values or the Cardano's determinant is less than 0 and that makes me to dig deeper into complex numbers as I have to calculate quadratic roots from negative values.
Can u see an easier way to solve this? Is the Cardano solution the only way or am I making some obvious mistake?
 

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