I have the following set of constants and equations:

--> f: 2 * %pi * 1e8;

--> alpha: 0.01;

--> beta: 0.8 * %pi;

--> eq2: sqrt((R + %i * f * L) / (G + %i * f * C)) - 50;

--> eq1: alpha + %i * beta - ((R + %i * f * L) * (G + %i * f * C))^0.5;

--> eq3: sqrt(L/C) - 50;

--> eq4: L * C - 8.842E-12 * 1.257E-6 * 2.25;

from which I can solve for C, G, L and R. Using wxMaxima's algsys command:

--> algsys([eq1, eq2, eq3, eq4], [R, L, C, G]);

returns [ ], i.e., no solution. Should I expect otherwise?