Question 1178810: Please
x+y+z=9...........1
x^2+y^2+z^2=20.....2
x^3+y^3+z^3=1.......3
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
a TWIN problem is just solved in the lesson
https://www.algebra.com/algebra/homework/Systems-of-equations/The-system-of-nonlinear-alg-equations-with-symm-functions-in-the-left-side.lesson, Problem 1
https://www.algebra.com/algebra/homework/Systems-of-equations/The-system-of-nonlinear-alg-equations-with-symm-functions-in-the-left-side.lesson
Consider it as your TEMPLATE and solve the given problem SIMILARLY.
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This problem's level is MUCH HIGHER than an ordinary school Math problem.
It is a Math Circle level problem.
So, I assume that the person who came with such problem, has an adequate level in Math
(otherwise, there is no sense to discuss the subject with him (or her) ).
For such a person, this TEMPLATE and my reference is enough and even more than enough.
It would be even better for such a person to develop his (or her) own solution, having this first class hint.
So, boldly go forward and do not forget to post me your "THANKS" for my teaching.
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