Question

use factoring to solve the quadratic equation. check by substitution or by using a graphing utility and identifying x - intercepts.
$x^{2}-2x - 63=0$
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 - 63 and add up to - 2. The numbers are - 9 and 7. So, $x^{2}-2x - 63=(x - 9)(x+7)=0$.

Step2: Set each factor equal to zero

If $(x - 9)(x + 7)=0$, then $x-9 = 0$ or $x+7=0$.
For $x-9 = 0$, we get $x=9$. For $x + 7=0$, we get $x=-7$.

Answer:

$-7,9$