[sage-support] Re: solving 3 dimensional equations

2008-06-21 Thread David Joyner
In this special case, if you let A = ((x^2 + 10*y^2)/10^(1/3) (assuming I did the algebra right, note there are 3 such A's, but only 1 real one) then you get sage: A = var("A"); solve(2* x^2 + y^2 + z^2 - 1- A*z==0,z) [z == (A - sqrt(A^2 - 4*y^2 - 8*x^2 + 4))/2, z == (sqrt(A^2 - 4*y^2 - 8*x^2 +

[sage-support] Re: solving 3 dimensional equations

2008-06-21 Thread Maximilian Lepik
ok thanks. Do you no any other way how I could solve it 2008/6/21 David Joyner <[EMAIL PROTECTED]>: > > This is a 6th degree polynomial in z. There is no general formula for > algebraically > solving for roots of polynomials of degree 5 or higher. > > > On Fri, Jun 20, 2008 at 8:20 PM, Max <[EMAI

[sage-support] Re: solving 3 dimensional equations

2008-06-21 Thread David Joyner
This is a 6th degree polynomial in z. There is no general formula for algebraically solving for roots of polynomials of degree 5 or higher. On Fri, Jun 20, 2008 at 8:20 PM, Max <[EMAIL PROTECTED]> wrote: > > Hi, > i am looking for a way to solve this equation "10* (2* x^2 + y^2 + z^2 > - 1)^3- x