An idea :
Now, you may use that and that . I let you find what the dots have to be replaced by.
Hope that helps
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.
What you say is definitely helpful. Thanks for the insight.
By putting x = y in one case, and x = -y in another I get 5 solutions for the system of equations. But what do I do with the (x^2-xy+y^2) part of the expression in one case, and the similar expression in the other case (the one you asked me to fill up)? I can't seem to get solutions from these. Any pointers in the right direction?