# Sum is Zero, Fourth Powers Then?

Algebra Level 3

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

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

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

×