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

Toán Lớp 7: Tìm x: 2x-3/12=3/2x-3 Giúp mình với ạ

Toán Lớp 7: Tìm x:
2x-3/12=3/2x-3
Giúp mình với ạ

Comments ( 2 )

  1. (2x-3)/12 = 3/(2x-3)
    <=> (2x-3)(2x-3) = 3.12
    <=> (2x-3)^2 = 36
    <=> (2x-3)^2 = (±6)^2
    <=> \(\left[ \begin{array}{l}2x-3=6\\2x-3=-6\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}2x=9\\2x=-3\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}x=4,5\\x=-1,5\end{array} \right.\) 
    Vậy x∈{4,5;-1,5}

  2. Hướng dẫn giải:
    (2x-3)/12=3/(2x-3)
    <=>(2x-3)(2x-3)=12.3
    <=>(2x-3)^2=36
    <=>2x-3=+-6
    +) Trường hợp 1:
    2x-3=6
    <=>2x=9
    <=>x=(9)/2
    +) Trường hợp 2:
    2x-3=-6
    <=>2x=-3
    <=>x=-(3)/2
    Vậy x\in{(9)/2;-(3)/2}

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

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