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

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

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.