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

Question

asked Jun 11, 2018 106k views

2 Answers

Ihmahr · Answer 1 · 2018-06-17T05:38:59+0000

Answer:

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.