Answer
Choice D;
must use the Quadratic Formula
Work Step by Step
The discriminant of a quadratic equation $ax^2+bx+c=0,$ is given by $b^2-4ac$. Thus, the discriminant of the given equation, $
18x^2+60x+82=0
,$ is
\begin{align*}\require{cancel}
&
(60)^2-4(18)(82)
\\&=
3600-5904
\\&=
-2304
.\end{align*}
Since the discriminant is negative, then the equation $
18x^2+60x+82=0
$ has two nonreal complex numbers as solutions or $\text{
Choice D
}$.
Furthermore, since the discriminant is less than zero, then the given equation CANNOT be solved using the Zero-Factor Property. Hence, the Quadratic Formula must be used.