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

Toán Lớp 9: $B={\huge{(}}\dfrac{1}{\sqrt{1}}+\dfrac{\sqrt{x}-1}{\sqrt{x}+1}{\huge{)}}:\dfrac{\sqrt{x}}{x+\sqrt{x}}\ \ (x>0)\\=\dfrac{x+1}{\sqrt{x}}

Toán Lớp 9: $B={\huge{(}}\dfrac{1}{\sqrt{1}}+\dfrac{\sqrt{x}-1}{\sqrt{x}+1}{\huge{)}}:\dfrac{\sqrt{x}}{x+\sqrt{x}}\ \ (x>0)\\=\dfrac{x+1}{\sqrt{x}}$
Tìm $x$ để $B=2$

Comments ( 1 )

  1. Giải đáp:
    Để B=2 thì \frac{x+1}{sqrtx}=2 ($x>0$)
    <=> x+1=2sqrtx
    <=> 2sqrtx=x+1
    <=> 4x=x^2+2x+1
    <=> 4x-x^2-2x-1=0
    <=> -x^2+2x-1=0
    <=> -(x-1)^2=0
    <=> (x-1)^2=0
    <=> x-1=0
    <=> x=1 (tmdkxd)
    Vậy x=1 thì B=2

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

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