Question

determining solutions to quadratic equations
the solution to (x^2 - 10x = 24) is
done
7 or -7
2 + 2i or 2 - 2i
12 or -2

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 10x - 24 = 0$

Step2: Factor the quadratic expression

$(x - 12)(x + 2) = 0$

Step3: Solve for x

Set each factor equal to 0:
$x - 12 = 0 \implies x = 12$
$x + 2 = 0 \implies x = -2$

Answer:

12 or -2