Question 75
$$
\begin{aligned}
a + b + c &= p \\
a^2 + b^2 + c^2 &= q
\end{aligned}
\qquad
\begin{aligned}
bc - x - 2ya &= 0 \\
ca - x - 2yb &= 0 \\
ab - x - 2yc &= 0,
\end{aligned}
$$
where $p^2 \lt 3q$. Determine the possible values of $abc$.
\begin{aligned}
a + b + c &= p \\
a^2 + b^2 + c^2 &= q
\end{aligned}
\qquad
\begin{aligned}
bc - x - 2ya &= 0 \\
ca - x - 2yb &= 0 \\
ab - x - 2yc &= 0,
\end{aligned}
$$
where $p^2 \lt 3q$. Determine the possible values of $abc$.