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

Toán Lớp 9: √x+3 + √4x+12=x-1 =–…

Toán Lớp 9: √x+3 + √4x+12=x-1
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Comments ( 2 )

  1. Giải đáp:
    S={13} 
    Lời giải và giải thích chi tiết:
    \sqrt{x+3}+\sqrt{4x+12}=x-1 (x>=1)
    <=>\sqrt{x+3}+\sqrt{4(x+3)}=x-1
    <=>\sqrt{x+3}+2\sqrt{x+3}=x-1
    <=>3\sqrt{x+3}=x-1
    <=>(3\sqrt{x+3})^2=(x-1)^2
    <=>9(x+3)=x^2-2x+1
    <=>-x^2+9x+2x+27-1=0
    <=>-x^2+11x+26=0
    <=>x^2-11x-26=0
    <=>(x^2-13x)+(2x-26)=0
    <=>x(x-13)+2(x-13)=0
    <=>(x-13)(x+2)=0
    <=>\(\left[ \begin{array}{l}x-13=0\\x+2=0\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}x=13(tm)\\x=-2(loại)\end{array} \right.\) 
    Vậy S={13}
     

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

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