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For all real numbers x  find the minimum value of 

 May 16, 2019
 #1
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(x + 12)^2 + (x + 7)^2 + (x + 3)^2 + (x - 4)^2 + (x - 8)^2

 

This simplifies to

 

5x^2 + 20x + 282      the minimum will  at occur at the x value   (-20) / (2 * 5)  =  -20 / 10  = -2

 

And the minimum value  is

 

5(-2)^2 + 20(-2) + 282  =

 

20 - 40  + 282  =

 

262

 

 

cool cool cool

 May 16, 2019

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