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

Toán Lớp 8: cho x+y+x=0 và xy+yz+yx=0 tính B=(x-1)^2007+y^2008+(z+1)2009

Toán Lớp 8: cho x+y+x=0 và xy+yz+yx=0 tính B=(x-1)^2007+y^2008+(z+1)2009

Comments ( 1 )

  1. x+y+z=0
    =>(x+y+z)^2=0
    =>x^2+y^2+z^2+2(xy+xz+yz)=0
    Mà theo đề xy+xz+yz=0
    =>x^2+y^2+z^2+2.0=0
    =>x^2+y^2+z^2=0
    Mà x^2+y^2+z^2\ge0 (x^2\ge0; y^2\ge0; z^2\ge0)
    =>x=y=z=0 
    =>B=(0-1)^2007+0^2008+(0+1)^2009
    =(-1)^2007+0+1^2009
    =-1+0+1
    =0
    Vậy B=0
     

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