How to find roots of complex quadratic and keep a variable in variable form?

Essentially, I'm trying to find the complex roots of POLY

where POLY = A*E -B*D

and A = 19.9 - i4.1 - 3.2X, B = -11.4 - i2.5, D = 2.5 + i1.2, E = 9.2 - i2.4 - 5X,

I do know the value of X.

So first question is how to keep the variable X in variable form when calculating POLY?

So it looks like 16X^2 +(-129+i28)X + 200 -i64.4 instead of using the value for X

Second, how to find the 2 complex roots of POLY?

I know I can do this on paper, but I wanted to know if this is possible in coding form?

Answer 1

[Walter Roberson]

If you have the symbolic toolbox then

syms x
A = 19.9 - 4.1i - 3.2*X;
B = -11.4 - 2.5i;
D = 2.5 + 1.2i;
E = 9.2 - 2.4i - 5*X;

[Patrick]

Thanks. I wasn't aware of the syms syntax.