SOLUTION: Please someone help... I'm having a problem solving this x + y + z = 12 x² + y² + z² = 50 x³ + y³ + z³ = 216

Algebra ->  Equations -> SOLUTION: Please someone help... I'm having a problem solving this x + y + z = 12 x² + y² + z² = 50 x³ + y³ + z³ = 216      Log On


   

Question 1021358: Please someone help... I'm having a problem solving this
x + y + z = 12
x² + y² + z² = 50
x³ + y³ + z³ = 216
Answer by tomlaidlaw(14) About Me  (Show Source):
You can put this solution on YOUR website!
It's easy to see the answer is 3, 4, 5, but I don't know how to formally solve it. Somehow the system of equations seems unworkable with squares and cubes.