I have seen that before......but where?I do not know ,but I know that 2015 is coming

Algebra Level pending

If \(a,b\) and \(c\) are not necessarily positive real numbers satisfying \(a^3+b^3+c^3=a^4+b^4 + c^4\), find the maximum value of \(a+b+c\).

Give your answer to 3 decimal places.

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