- #1

- 17

- 2

- Homework Statement
- If x1+x2+x3...+xn=0 and x1^2+x2^2...+xn^2=1, with x1,x2,x3...,xn ∈ ℝ. What is the maximum value of x1^3+x2^3+...+xn^3?

- Relevant Equations
- I couldn't think of a way to solve this with MA greater than MG, but apparently I should use this, any other way is welcome

I'm obsessed with this problem and need some light, I've tried solving it using inequalities but there seems to be an asymmetry that's hard to deal with.