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I have three variables (ISP, ch, $n_C$). I have two equations. My aim is to solve a system of two equations to compute the values of ISP and ch according to $n_C$.

My two equations are polynomials of order two. I put the equations in a framabin : https://framabin.org/p/?2ea1412d13d7f562#vh/+dEhivcOqEQAl3RerwPLb4XPAYRB4ehQ+eAL65MM=

I tried the solvers of sage and simpy but it does not work. I tried to use Groebner basis but I failed. I looked at the different questions of sagemath but I am completely lost. Number theory is not at all my background.

I have three variables (ISP, ch, $n_C$). I have two equations. My aim is to solve a system of two equations to compute the values of ISP and ch according to $n_C$.

My two equations are polynomials of order two. I put the equations in a framabin : https://framabin.org/p/?2ea1412d13d7f562#vh/+dEhivcOqEQAl3RerwPLb4XPAYRB4ehQ+eAL65MM=

I tried the solvers of sage and simpy but it does not work. I tried to use Groebner basis but I failed. failed. EDIT: I also raised a question on math.stackexchange about the solvability of my polynomial system. I looked at . The Groebner basis method is stuck as well because of the different questions high order of sagemath but I am completely lost. Number theory one of the variables ($ch$ which is not at all my background.degree 15).

I have three variables (ISP, ch, $n_C$). I have two equations. My aim is to solve a system of two equations to compute the values of ISP and ch according to $n_C$.

My two equations are polynomials of order two. I put the equations in a framabin : https://framabin.org/p/?2ea1412d13d7f562#vh/+dEhivcOqEQAl3RerwPLb4XPAYRB4ehQ+eAL65MM=

I tried the solvers of sage and simpy but it does not work. I tried to use Groebner basis but I failed. EDIT: I also raised a question on math.stackexchange about the solvability of my polynomial system. . The Groebner basis method is stuck as well because of the high order of one of the variables ($ch$ which is degree 15).failed.