I am trying to solve a system of three non-linear equations using Mathematica. However, the solver is unable to work it out analytically and solving it numerically doesn't work either (or at least not within a reasonable amount of time).
The function f[a,b,c,d,e,]=g with (a_i,b_i,g_i) i=1,2,3 is given. I want determine c,d,e.
A good approximation would be fine as well (and I am also not entirely sure if there is an exact solution).
FindRood should theoretically do the job but apparently there is no way to exclude negative numbers as results (which I keep getting). Mathematica also wouldn't allow me to add an additional equation or inequation to make sure the results are positive numbers (saying that these are too many equations for the number of variables to solve for)
I guess somehow minimizing the f-g's simultaneously could also work, but I am unfortunatelly not that skilled with the program and the internet didn't help me so far
Any ideas on what I could do here?