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

Toán Lớp 8: Tìm x,y biết 4x^2 + 2y^2 – 4xy – 8y + 4x + 10 =0

Toán Lớp 8: Tìm x,y biết
4x^2 + 2y^2 – 4xy – 8y + 4x + 10 =0

Comments ( 1 )

  1. $\\$
    4x^2+2y^2-4xy-8y + 4x+10=0
    => (4x^2-4xy+y^2) + (4x – 2y) + (y^2-6y+9) =0
    =>(2x-y)^2+2(2x-y)+1+(y-3)^2=0
    =>(2x-y+1)^2+(y-3)^2=0
    Nhận xét :
    (2x-y+1)^2>=0 ∀ x,y
    (y-3)^2>= 0∀ y
    =>(2x-y+1)^2+(y-3)^2>= 0∀x,y
    Dấu “=” xảy ra khi :
    (2x-y+1)^2=0,(y-3)^2=0
    <=>2x-y=-1,y=3
    <=> x=1,y=3
    Vậy x=1,y=3
     

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

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