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What value of x will give the minimum value for \(9x^2 + 18x + 7\)?

tertre  Apr 6, 2017
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 #1
avatar+77243 
+2

9x^2 + 18x + 7

 

If you know Calculus, you can find this quickly, but, if not, the x value that will minimize this is given by

 

-b / (2a)    where  b  = 18   and a  = 9 .......so

 

x =  -18 / ( 2 * 9)  =   -18 / 18   =  -1

 

And since this is a parabola that turns upward, this is the x value of the vertex, i.e., the x value that minimizes the function

 

 

cool cool cool

CPhill  Apr 6, 2017
 #2
avatar+1167 
+1

Oh, yeah! Thanks!

tertre  Apr 7, 2017
edited by tertre  Apr 7, 2017

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