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Find the maximum value of 8x - x^2 + 7x - 2x^2, for real numbers x.

 Jun 30, 2022
 #1
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Rearrange as

 

-3x^2 +  15x

 

The max value occurs when x =   -(15) / (2 * -3)  =   -15 / -6  =  5/2 =  2.5

 

And the max is

 

-3 (2.5)^2  + 15 (2.5)  = 

 

18.75

 

 

cool cool cool

 Jun 30, 2022

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