I have a set of 3 quadratic equtions:

$A_1µ_1^2 + B_1µ_1µ_2 + C_1µ_2^2 + D_1µ_1 + E_1µ_2 + F_1 = 0$ $A_2µ_2^2 + B_2µ_2µ_3 + C_2µ_3^2 + D_2µ_2 + E_2µ_3 + F_2 = 0$ $A_3µ_3^2 + B_3µ_3µ_1 + C_3µ_1^2 + D_3µ_3 + E_3µ_1 + F_3 = 0$

I want to write a C-code, that find solutions for $µ_1$, $µ_2$ and $µ_3$ with input $A_1$, $A_2$, ...

Any ideas on where to start? Is there a good method for solving this problem, or exist already a good free code?