I have a second order continuous time system transfer function denominator with as roots:
Now I want to go to a discrete time system with the equation:
In fact I want to solve following complex equation, making z equal to the pole of a discrete time system with sampling time 0.01 sec:
But Mathematica 13.2 gives a huge answer depending on a constant c1.
When I help Mathematica as follows, by splitting real and imaginary equations, it does find the correct solution:
How can I adapt the first formula?