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otez555 [7]
3 years ago
7

What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0
Answer:  x = 2 ;  -11 .
___________________________________
Explanation:
_____________________________________________
Given the equation:
_____________________________________________
  x² + 9x −<span> 22 = 0  ;  Solve for:  "x" ;
_____________________________________________

Let us factor the "left-hand side" of the equation:
_____________________________________________
  "x</span>² + 9x −<span> 22"  ;
_____________________________________________

What are the factors of "-22"" that add up to "positive 9" ?
_____________________________________________
  Let us list the factors of "-22" :
____________________________________________
-2, 11;  </span>→ -2 + 11 = 9 ;<span>
-11, 2;  </span>→ -11 + 2 = -9 ;<span>
____________________________________________

So we have:  "-2" and "11" ;
____________________________________________
So;   </span>  "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
____________________________________________
We have:  (x−2)(x + 11) = 0 ;

So:  x − 2 = 0 ;  

Add "2" to each side of the equation; 

     x − 2 + 2 = 0 + 2 ; 

          x = 2 ; 
___________________________________
   x + 11 = 0 ;

Subtract "11" from each side of the equation;

   x + 11 − 11 = 0 − 11 ;

      x = -11 ; 
___________________________________
 Answer:  x = 2 ; -11 .
___________________________________
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