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Find the smallest value of x such that x^2 + 10x + 25 = 16.

 
 Oct 9, 2021
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Find the smallest value of x such that x^2 + 10x + 25 = 16.    

 

Subtract 16 from each side to get       x2 + 10x + 9 = 0  

 

Factor the quadratic                           (x + 9)(x + 1) = 0  

 

Set each factor equal to zero              (x + 9) = 0           x = –9  

                                                            (x + 1) = 0           x = –1  

 

The smaller value is x = –9   

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 Oct 9, 2021

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