# Sum is Zero, Fourth Powers Then?

Algebra Level 3

$\begin{eqnarray} a+b+c & = & 0 \\ a^2 + b^2 + c^2 & = & \sqrt{74} \\ \end{eqnarray}$

Real numbers $$a,b,c$$ satisfy the above equations.

What is the value of $$a^4 + b^4 + c^4$$?

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