Question

select the correct answer.
solve for x.
$x^2 + x - 6 = 0$
a. -2, -3
b. -2, 3
c. 2, -3
d. 2, 3

Explanation:

Step1: Factor the quadratic equation

Find two numbers that multiply to -6 and add to 1: 3 and -2.
$x^2 + x - 6 = (x + 3)(x - 2) = 0$

Step2: Solve for x

Set each factor to zero:
$x + 3 = 0 \Rightarrow x = -3$
$x - 2 = 0 \Rightarrow x = 2$

Answer:

C. 2, -3