Question

find the roots of the equation $x^2 = 30 - 13x$
$\square$ 2
$\square$ -2
$\square$ 5
$\square$ -8
$\square$ 18
$\square$ -15
$\square$ 6
$\square$ -6

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 + 13x - 30 = 0$

Step2: Factor the quadratic equation

$(x + 15)(x - 2) = 0$

Step3: Solve for x

Set each factor equal to 0:
$x + 15 = 0 \implies x = -15$
$x - 2 = 0 \implies x = 2$

Answer:

2, -15