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

Toán Lớp 8: tìm GTNN của C=-x^2-y+2+4x-4y+2

Toán Lớp 8: tìm GTNN của C=-x^2-y+2+4x-4y+2

Comments ( 1 )

  1. $\\$
    C=-x^2 – y^2 +2+4x-4y+2
    =>C=-(x^2+y^2-2-4x+4y-2)
    =>C= – [(x^2-4x+4) + (y^2+4y+4)-12]
    =>C=-[(x-2)^2+(y+2)^2-12]
    =>C=-(x-2)^2-(y+2)^2+12≤12∀x,y
    Dấu “=” xảy ra khi :
    (x-2)^2=0,(y+2)^2=0
    <=>x-2=0,y+2=0
    <=>x=2,y=-2
    Vậy max C=12<=>x=2,y=-2
     

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