What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.

Question

asked May 23, 2018 65.6k views

2 Answers

Mir Stephen · Answer 1 · 2018-05-28T20:37:17+0000

Answer:

$x=-11\text{ or }x=2$

Explanation:

We have been given an equation
x^(2)+9x-22=0 . We are asked to find the values that will make our given equation true.

We will factor our given equation to find the solutions.

By splitting the middle term we will get,

x^(2)+11x-2x-22=0

x(x+11)-2(x+11)=0

(x+11)(x-2)=0

$x+11=0\text{ or }x-2=0$

$x+11-11=0-11\text{ or }x-2+2=0+2$

$x=-11\text{ or }x=2$

Therefore, the values
$x=-11\text{ or }x=2$ will make our given equation true.