Hi!
I don't think is easy to find such a program: too specific!
But if you only need to solve quadratic terms is quite easy to program. If you'd like to solve a more generic case, you have to look for a library/program to work out zeros (or roots) of equations. There are many very known algorithms: bisection, regula falsi, Newton, (or Newton-Raphson), and many others... you may include such words in your search.
I use a library which contains such algorithms and many others implemented: GSL (Gnu Scientific Library); is written in C.
If you want to see a program to make graphical representations: GNUplot; you can see the code, but is not 'elementary'
I hope it helps...
Regards
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