Determine the greatest value of the expression E={a}^{2013}+{b}^{2013}+{c}^{2013}, where a,b,c are real numbers satisfying a+b+c=0 and {a}^{2} + {b}^{2} + {c}^{2}=1. (Headbang)

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- May 20th 2013, 02:33 AMthth776Determine the greatest value of the expression
Determine the greatest value of the expression E={a}^{2013}+{b}^{2013}+{c}^{2013}, where a,b,c are real numbers satisfying a+b+c=0 and {a}^{2} + {b}^{2} + {c}^{2}=1. (Headbang)