A=3x-5x²+7
⇒A=-(5x²-3x-7)
⇒A=-[(4x²-4x+1)+(x²+x+1/4)-25/4
⇒A=25/4-(2x-1)²-(x+1/2)²≤25/4
Dấu "=" xảy ra khi: $\left \{ {{2x-1=0} \atop {x+1/2=0}} \right.$ =>$\left \{ {{2x=1} \atop {x=-1/2}} \right.$ =>$\left \{ {{x=1/2} \atop {x=-1/2}} \right.$
Vậy max của A=25/4 khi $\left \{ {{x=1/2} \atop {x=-1/2}} \right.$