Question

What are the solutions to x2 + 8x + 7 = 0? x = –8 and x = –7 x = –7 and x = –1 x = 1 and x = 7 x = 7 and x = 8

Answer 1

X=-7 and x= -1. Also put commas between answers.

Answer 2

Answer:

B. $x=-7\text{ and }x=-1$.

Step-by-step explanation:

We have been given an equation $x^2+8x+7=0$. We are asked to find the solutions of our given equation.

We will factor our given equation by splitting the middle term as shown below:

$x^2+7x+x+7=0$

$x(x+7)+1(x+7)=0$

$(x+7)(x+1)=0$

Using zero product property, we will equate both factors of our given equation with 0 as:

$(x+7)=0\text{ (or) }(x+1)=0$

$x+7=0\text{ (or) }x+1=0$

$x=-7\text{ (or) }x=-1$

Therefore, the solutions for our given equation are $x=-7\text{ and }x=-1$ and option B is the correct choice.