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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Step-by-step 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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