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

Toán Lớp 8: Tìm GTNN của bt : `-x^4+4x^3-7x^2+12x+18` Mong mn làm giúp

Toán Lớp 8: Tìm GTNN của bt : -x^4+4x^3-7x^2+12x+18
Mong mn làm giúp

Comments ( 2 )

  1. -x^4 + 4x^3 – 7x^2 + 12x +18
    =-x^2(x^2 -4x + 4) – 3(x^2 -4x + 4) + 30
    = -(x-2)^2.(x^2+3) + 30
     vì (x-2)^2.(x^2+3)>= 0 ∀ x => -(x-2)^2(x^2+3)<= 0 ∀ x => -(x-2)^2(x^2+3) + 30 <=30
    dấu = khi 
    1,x-2=0 => x=2
    2,(x^2 + 3 = 0 => x^2 = -3 (vl)
    vậy Max = 30 khi x = 2

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