Sufficient/necessary condition or logical relationship involving a quadratic
The question frames a quadratic equation within a logical condition (sufficient, necessary) and asks to determine a parameter value ensuring the logical relationship holds.
For two conditions on real number $x$: $$\begin{aligned}
& p : x = a , \\
& q : 3 x ^ { 2 } - a x - 32 = 0
\end{aligned}$$ What is the value of positive $a$ such that $p$ is a sufficient condition for $q$? [3 points] (1) 1 (2) 2 (3) 3 (4) 4 (5) 5