Question:

Consider the system of equations x³ + y³ z³ = 1, x² + y² +

Last updated: 8/10/2022

Consider the system of equations x³ + y³ z³ = 1, x² + y² +

Consider the system of equations x³ + y³ z³ = 1, x² + y² + z² = 1, x+y+z = 1. Determine all solutions in C3 using the Elimination and the Extensions Theorems. You are allowed to use computer algebra software besides the commands that solve a system of polynomial equations directly. Explain your work.