How does one solve the system of equations:
x = 3y - 4y^3
y = 3x - 4x^3
The problem statement is pretty simple but by using conventional method of replacing variables I get a 9th degree equation in y or x - depending which variable you replace - (impossible to solve normally).
The best I can do is bring that 9th degree equation down to a 6th degree equation (which is still impossible to solve).
Anybody have any pointers for me to proceed in the right direction?
Thanks a lot.