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If A,B and C are real numbers then A + B 2 + C 4 = 0 \sqrt{A}+B^{2}+C^{4}=0 what is the value of A B C A*B*C ?


The answer is 0.

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1 solution

Noel Lo
May 20, 2015

A \sqrt{A} , B 2 B^2 and C 4 = ( C 2 ) 2 C^4 = (C^2)^2 all have to be non-negative. Since they add up to zero, all these 3 values have to be zero. If any one of them is positive, at least one other value has to be negative.

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