Answer
False
Work Step by Step
Factor the trinomial by looking for the factors of $-66$ whose sum is equal to the middle term's coefficient of $-5$.
These factors are -11 and 6. This means that the factored form of the trinomial is $(x-11)(x+6)$
Thus,
$x^2-5x-66=0
\\(x-11)(x+6)=0$
Equate each factor to 0, and then solve each equation to obtain
$x-11=0 \text{ or } x+6-0
\\x=11 \text{ or } x=-6$
The solution set is $\left\{-6, 11\right\}$.
Therefore, the given statement is false.
