Question

what are the solutions to the equation $0 = x^2 - x - 6$? select two options
$\square$ $x = -3$
$\square$ $x = -2$
$\square$ $x = 0$
$\square$ $x = 2$
$\square$ $x = 3$

Explanation:

Step1: Rearrange the quadratic equation

$x^2 - x - 6 = 0$

Step2: Factor the quadratic expression

$(x - 3)(x + 2) = 0$

Step3: Solve for x using zero product rule

Set $x - 3 = 0$ → $x = 3$; Set $x + 2 = 0$ → $x = -2$

Answer:

$\square x = -2$, $\square x = 3$