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

Question

asked Jan 13, 2020 2.2k views

2 Answers

Braaannigan · Answer 1 · 2020-01-20T00:42:58+0000

Answer:

-6 and -7 are the roots

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:

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

x= -6 or x=-7

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