Question

Solve the equation by factoring: x^2 + 13x = -42

Answer 1

X^2+13x=-42
x^2+13x+42=0
(x+6)(x+7)=0
X=-6,-7

Answer 2

Answer:

-6 and -7 are the roots

Step-by-step explanation:

The quadratic equation given is:

$x^{2}+13x=-42\\Taking\ -42\ to\ left\ hand\ side\ we\ get\\x^{2} +13x+42=0$

We can factorise the equation as:

$x^{2}+6x+7x+42=0\\(x^{2}+6x)+(7x+42)=0$

Taking x common from the first bracket and 7 common from the second bracket we get:

$x(x+6)+7(x+6)$

Taking (x+6) common from both terms we get:

$(x+6)(x+7)=0$

x= -6 or x=-7

Hence -6 and -7 are the roots of the given quadratic equation.