I'm currently working on a logistics curve model that involves generationg solutions to a polymonmial of degree-6. Although I can use software packages like MATLAB, I need to present my results algebraically, void of computer-generated results that I cannot prove algorithmically.
I actually need to develop a formular for for some other dependent variable ti in terms of xi been the roots of the sextic. Consider x=exp(-ct) which implies t=(In(1/x))/c.
Thank you.