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Let $a,$ $b,$ $c$ be real numbers such that
\begin{align*}
a^2 - bc &= 42, \\
b^2 - ac &= -5, \\
c^2 - ab &= 25.
\end{align*}
Find $a^2 + b^2 + c^2.$

 
 Oct 26, 2023

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