Question

aflati max e(x)= -16 la a doua + 40x - 23 , x apartine de R

Answer 1

Răspuns:

-16x  la a doua + 40x - 23 ,

Explicație pas cu pas:

-b/2a=40/32=5/4

f(5/4) =-16*(25/16)+40*5/4-23= -25+50-23=2

atasez grafic facut cu program pentru conformitate

Answer 2

$\it E(x)=-16x^2+40x-23=-16x^2+40x-25+2=2-(4^2x^2-40x+5^2)=\\ \\ =2-(4x-5)^2\\ \\ (4x-5)^2\geq0 \Rightarrow -(4x-5)^2\leq0|_{+2} \Rightarrow 2-(4x-5)^2\leq2 \Rightarrow maxE(x)=2$