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

Toán Lớp 6: X+1/2=40/X-1 Mn giúp mình với ạ

Toán Lớp 6: X+1/2=40/X-1
Mn giúp mình với ạ

Comments ( 2 )

  1. Giải đáp:
    $\\$
    (x+1)/2 = 40/(x-1)
    ↔ (x+1) (x-1) = 2.40
    -> x (x-1) + 1 (x-1)=80
    -> x^2 – x + x-1=80
    -> x^2 + (-x+x) – 1=80
    -> x^2 – 1=80
    -> x^2=80+1
    ->x^2=81
    -> \(\left[ \begin{array}{l}x^2=9^2\\x^2=(-9)^2\end{array} \right.\) 
    -> \(\left[ \begin{array}{l}x=9\\x=-9\end{array} \right.\) 
    Vậy x=9 hoặc x=-9

  2. Giải:
    (x + 1)/2 = 40/(x – 1)
    -> (x + 1)(x – 1) = 40 . 2
    -> x^2 + x – x – 1 = 80
    -> x^2 – 1 = 80
    -> x^2 = 81 = (±9)^2
    -> x ∈ {9; -9} (TM)
    Vậy x ∈ {9; -9}
     

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

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