Question

find the solution set.
$x^2 - 7x - 8 = 0$
separate the two values with a comma.
enter the correct answer.

Explanation:

Step1: Factor the quadratic equation

We need two numbers that multiply to $-8$ and add to $-7$. These numbers are $-8$ and $1$.
$x^2 -7x -8 = (x - 8)(x + 1) = 0$

Step2: Solve for each factor set to 0

Set each factor equal to 0 and solve for $x$:

1. $x - 8 = 0 \implies x = 8$
2. $x + 1 = 0 \implies x = -1$

Answer:

$-1, 8$