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

Toán Lớp 8: Bài 1: a)x^2+5y^2-4xy-4y+4=0 b)3x^2+2y^2-4xy+8x+16=0

Toán Lớp 8: Bài 1:
a)x^2+5y^2-4xy-4y+4=0
b)3x^2+2y^2-4xy+8x+16=0

Comments ( 1 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    $a,x^{2}+5y^{2}-4xy-4y+4=0$
    $⇔(x^{2}-4xy+4y^{2})+(y^{2}-4y+4)=0$
    $⇔(x-2y)^{2}+(y-2)^{2}=0$
    $⇔\left \{ {{(x-2y)^{2}=0} \atop {(y-2)^{2}=0}} \right.$
    $⇔\left \{ {{x-2y=0} \atop {y-2=0}} \right.$
    $⇔\left \{ {{x-2.2=0} \atop {y=2}} \right.$
    $⇔\left \{ {{x=4} \atop {y=2}} \right.$
    Vậy $x=4;y=2$
    $b,3x^{2}+2y^{2}-4xy+8x+16=0$
    $⇔(2x^{2}-4xy+2y^{2})+(x^{2}+8x+16)=0$
    $⇔2(x^{2}-2xy+y^{2})+(x+4)^{2}=0$
    $⇔2(x-y)^{2}+(x+4)^{2}=0$
    $⇔\left \{ {{2(x-y)^{2}=0} \atop {(x+4)^{2}=0}} \right.$
    $⇔\left \{ {{x-y=0} \atop {x+4=0}} \right.$
    $⇔\left \{ {{-4-y=0} \atop {x=-4}} \right.$
    $⇔\left \{ {{y=-4} \atop {x=-4}} \right.$
    Vậy $x=-4;y=-4$

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