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

Toán Lớp 9: Rút gọn `\frac{5}{\sqrt{5}-1}` `-` `\frac{5}{\sqrt{5}+1}` giải phương trình $\sqrt{x-1}$ + $\sqrt{9x-9}$ + $\sqrt{4x-4}$ $= 12$

Toán Lớp 9: Rút gọn
\frac{5}{\sqrt{5}-1} – \frac{5}{\sqrt{5}+1}
giải phương trình
$\sqrt{x-1}$ + $\sqrt{9x-9}$ + $\sqrt{4x-4}$ $= 12$

Comments ( 1 )

  1. 1)5/(\sqrt5-1)-5/(\sqrt5+1)
    =(5(\sqrt5+1)-5(\sqrt5-1))/((\sqrt5+1)(\sqrt5-1)
    =(5\sqrt5+5-5\sqrt5+5)/(5-1)
    =10/4
    =5/2
    2)\sqrt(x-1)+\sqrt(9x-9)+\sqrt(4x-4)=12(x>=1)
    <=>\sqrt(x-1)+\sqrt(9(x-1))+\sqrt(4(x-1))=12
    <=>\sqrt(x-1)+3\sqrt(x-1)+2\sqrt(x-1)=12
    <=>6\sqrt(x-1)=12
    <=>\sqrt(x-1)=2
    <=>x-1=4
    <=>x=5(tm)
    Vậy x=5
     

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

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