system of equations



Stavros Macrakis pisze:
> On Mon, Aug 11, 2008 at 5:44 PM, Adam Majewski <adammaj1 at o2.pl> wrote:
>> I'm trying to solve system of equations for c:
>> z=z^4+2*c*z^2+c^2+c
>> abs(4*z^3+4*c*z)=%e^%i
>>
>> It should have 1 complex solution.
> 
> Algsys only works for algebraic equations, nothing involving abs.
> 
> But in any case, either there is an error in your equations 

Yes, Barton have found one
or you
> should be able to solve this problem with one very basic observation,
> so I will not give it away. 


(Is this a homework problem?)


No. I still try solve the same problem ( polynomial equations )
Now I know how to do it.
I have system of 2 equations:
z=z4+2*c*z2+c2+c
abs(4*z3+4*c*z)=1

I want to solve it for c.
Result is a closed curve
I can solve :

z=z4+2*c*z2+c2+c
4*z3+4*c*z)=%e^(%i*t)

for various t from o to 2*pi
and I will have set of point which create the curve I need.

How to solve it ?


Adam