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

Toán Lớp 9: Tìm x,y thoả mãn : x – 2√x-1 = -y + 4√y-4. GIÚP MÌNH VỚI Ạ

Toán Lớp 9: Tìm x,y thoả mãn : x – 2√x-1 = -y + 4√y-4.
GIÚP MÌNH VỚI Ạ

Comments ( 1 )

  1. Bạn tham khảo !
    x – 2\sqrt{x-1} = -y + 4\sqrt{y-4}(x>=1;y>=4)
    <=>x-2-2\sqrt{x-1}+1=-(y-4\sqrt{y-4}+4)
    <=>(\sqrt{x-1}-1)^2=-(\sqrt{y-4}-2)^2
    <=>(\sqrt{x-1}-1)^2+(\sqrt{y-4}-2)^2=0
    <=>{(\sqrt{x-1}-1=0),(\sqrt{y-4}=0):}
    <=>{(\sqrt{x-1}=1),(\sqrt{y-4}=2):}
    <=>{(x-1=1),(y-4=4):}
    <=>{(x=2),(y=8):}(t//m)
    Vậy x=2;y=8
     

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