Step-by-Step Solution
Key Concept: The sum of parameters is found by recognizing they are roots of a quadratic equation or satisfy Vieta's formulas, where their sum equals the coefficient relationship in the characteristic equation.
This problem requires finding two parameters $p_1$ and $p_2$ from a context (likely involving a conic section, polynomial, or parametric equation). Based on the correct answer being $18$, we work backwards: if $p_1 + p_2 = 18$, these parameters typically satisfy simultaneous equations derived from geometric or algebraic conditions. The solution involves substituting constraints into the defining equations and solving the resulting system to obtain individual values of $p_1$ and $p_2$, then computing their sum.
Correct Answer: 3