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

Toán Lớp 8: 4x/x^2-4+x/x+2+2/x-2=x+2/x-2 Cần giải gấp ạ Vote 5 saoooo

Toán Lớp 8: 4x/x^2-4+x/x+2+2/x-2=x+2/x-2
Cần giải gấp ạ
Vote 5 saoooo

Comments ( 1 )

  1. Giải đáp:
     #Clickbim 
    $\dfrac{4x}{x²-4}$ + $\dfrac{x}{x+2}$ + $\dfrac{2}{x-2}$ = $\dfrac{x+2}{x-2}$
    -> $\dfrac{4x}{(x-2)(x+2)}$ + $\dfrac{x(x-2)}{(x+2)(x-2)}$ +$\dfrac{2(x+2)}{(x-2)(x+2)}$ = $\dfrac{(x+2)(x+2)}{(x-2)(x+2)}$
    -> $\dfrac{4x+x²-2x+2x+4}{(x-2)(x+2)}$ = $\dfrac{(x+2)²}{(x+2)(x-2)}$
    -> $\dfrac{x²+4x+4}{(x-2)(x+2)}$ = $\dfrac{x+2}{x-2}$
    -> $\dfrac{(x+2)²}{(x-2)(x+2)}$ = $\dfrac{x+2}{x-2}$
    -> $\dfrac{x+2}{x-2}$ = $\dfrac{x+2}{x-2}$
    -> (x+2)(x-2) = (x-2)(x+2)
    -> x² – 4 = x² – 4
    -> x² – 4 – x² + 4 = 0
    -> 0 = 0 (LĐ) 
    Vậy x có vô số $n_o$ 
    Lời giải và giải thích chi tiết:
     

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

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