2
$\begingroup$

I want to solve the following three equations for $x,y,z$:

$$\begin{eqnarray}k_1&=&\frac{x+y+z}{yz}\\ k_2&=&\frac{x^2+y^2+z^2}{y^2z^2}\\ k_3&=&\frac{x^3+y^3+z^3}{y^3z^3}\end{eqnarray}$$

where $k_1,k_2,k_3$ are constants.

Is there any kind of standard methods?

  • 2
    You should consider accepting answers to some of your previous questions; it marks them as completed and helps reward answerers. Also, can you give us an idea of what level of math you are familiar with? For example, if I were to talk about the algebraic variety corresponding to the ideal $(x+y+z-k_1yz)$, would that make sense to you?2012-02-24

1 Answers 1