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

Toán Lớp 8: Gia tri lon nhất cua biểu thúc 20-x^2-6* x la

Toán Lớp 8: Gia tri lon nhất cua biểu thúc 20-x^2-6* x la

Comments ( 2 )

  1. y=20-x^2-6x
    =-x^2-6x+20
    =-(x^2+6x-20)
    =-(x^2+2.3.x+3^2-29)
    =-(x+3)^2+29
    Mà -(x+3)^2≤0
    →-(x+3)^2+29≤29
    Vậy GTLN:y=29 khi $x+3=0⇔x=-3$
     

  2. $\\$
    20-x^2-6x
    = -x^2-6x+20
    =-(x^2+6x-20)
    =-(x^2+2.x.3+3^2-29)
    =-(x+3)^2+29
    Nhận xét : (x+3)^2>= 0∀x
    => – (x+3)^2 ≤29∀x
    Dấu “=” xảy ra khi : (x+3)^2=0<=>x+3=0<=>x=-3
    Vậy GTLN của BT là 29<=>x=-3
     

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

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