Question

1 question pleasee i need this asap!! thank you :D

Answer 1

The correct answer is:  [A]:  " x = 6 " or  " x = - 9 " .
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Explanation:
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Given the following equation:
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   " x² + 3x – 54 = 0 " ;  Solve for "x" ; 
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Check if the part of the equation on the "left-hand side" can be "factored":

   " x² + 3x – 54 " ; 

→  We see the " + 3x " and the " – 54 "

Factors of " -54 " that add up to " +3" ;

Let us try:  " -9, 6" ;   →  " -9 + 6 = -3 " ;  →  " -3 ≠ +3 ;

Let us try:  " 9, -6" ;   →  " 9 + (-6) = 9 – 6 = 3 " ;   YES!
       →   {that is:  " +9 , -6 "} ; 


So, we can rewrite the entire equation:

→  " (x + 9)(x – 6) = 0 " ;

→  " x = -9 " ;  or,  " x = 6 " ; which is:  

→  Answer choice:  [A]:  " x = 6 "  or  " x = - 9 " .
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