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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Tìm gtln 4-x^2+3x. Nhanh chính xác 5* + ctrlhn

Toán Lớp 8: Tìm gtln 4-x^2+3x. Nhanh chính xác 5* + ctrlhn

Comments ( 2 )

  1. 4-x^2+3x=-x^2+3x+4
    =-(x^2-3x-4)
    =-(x^2-2.x. 3/2+(3/2)^2-25/4)
    =-[(x-3/2)^2-25/4]
    =-(x-3/2)^2+25/4<=25/4
    ->max=25/4 khi x-3/2=0->x=3/2
    Vậy max=25/4↔x=3/2

  2. ~ Bạn tham khảo ~
    Ta có :
    4-x^2 + 3x
    = -(x^2 – 3x – 4)
    = -(x^2 – 2*3/2*x + 9/4 – 25/4)
    = -(x – 3/2)^2 + 25/4
    <= 25/4
    Dấu “=” xảy ra <=> x-3/2=0
                               <=> x=3/2
    Vậy MAX=25/4<=>x=3/2

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222-9+11+12:2*14+14 = ? ( )