Question

use factoring to solve the quadratic equation. check by substitution or by using a graphing utility and identifying x - intercepts. (x^{2}-x - 66 = 0). the solution set is ( ). (use a comma to separate answers as needed. type repeated roots only once.)

Explanation:

Step1: Factor the quadratic equation

We need to find two numbers that multiply to - 66 and add up to - 1. The numbers are - 11 and 6. So, $x^{2}-x - 66=0$ can be factored as $(x - 11)(x+6)=0$.

Step2: Set each factor equal to zero

If $(x - 11)(x + 6)=0$, then $x-11 = 0$ or $x + 6=0$.
For $x-11 = 0$, we get $x=11$.
For $x + 6=0$, we get $x=-6$.

Answer:

$11,-6$