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

Algebra Level 4

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

Give your answer to 3 decimal places.


The answer is 3.000.

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