## Elementary Algebra

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.