Question 50
Let $a$, $b$ and $c$ be positive real numbers such that
$$
\begin{aligned}
a^{2}+a b+b^{2} & =9 \\
b^{2}+b c+c^{2} & =52 \\
c^{2}+c a+a^{2} & =49
\end{aligned}
$$
Compute the value of $\frac{49 b^{2}-33 b c+9 c^{2}}{a^{2}}$.
$$
\begin{aligned}
a^{2}+a b+b^{2} & =9 \\
b^{2}+b c+c^{2} & =52 \\
c^{2}+c a+a^{2} & =49
\end{aligned}
$$
Compute the value of $\frac{49 b^{2}-33 b c+9 c^{2}}{a^{2}}$.