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Help I dont know this

 

Find the smallest value of x such that x^2 + 10x + 25 = 12 + 8x - 14.

 Dec 15, 2023
 #1
avatar+126978 
+1

Simplify as

 

x^2 + 2x + 27  =  0     complete the square on x

 

x^2 + 2x  + 1 =   -27 + 1

 

(x + 1)^2  =  -26       take the negative root  

 

x + 1   =  -sqrt (-26)

 

x =  -1 -  i sqrt (26) 

 

cool cool cool

 Dec 16, 2023

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