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

Toán Lớp 7: Tìm x biết: a)|3/2x+1/2|=|3x-1| b)|5/4x-7/2-|5/8x +3/5|=0 c)|7/5x

Toán Lớp 7: Tìm x biết:
a)|3/2x+1/2|=|3x-1| b)|5/4x-7/2-|5/8x +3/5|=0 c)|7/5x+2/3|=|4/3x-1/4|

Comments ( 1 )

  1. Giải đáp:
    a, x=1 hoặc x=1/9
    b, x=164/25 hoặc x=116/75
    c, x=(-55)/4 hoặc x=(-25)/164
    Lời giải và giải thích chi tiết:
    a,
    |3/2x +1/2| = |3x-1|
    Trường hợp 1 :
    -> 3/2x + 1/2 = 3x-1
    -> 3/2x – 3x =(-1)/2-1
    -> (-3)/2x = (-3)/2
    ->x=(-3)/2 : (-3)/2
    ->x=1
    Trường hợp 1 :
    -> 3/2x + 1/2 =-3x+1
    ->3/2x+3x=(-1)/2+1
    -> 9/2x=1/2
    ->x=1/2 : 9/2
    ->x=1/9
    Vậy x=1 hoặc x=1/9
    b,
    |5/4x – 7/2| – |5/8x + 3/5|=0
    -> |5/4x – 7/2| =0 + |5/8x+3/5|
    -> |5/4x – 7/2| = |5/8x + 3/5|
    Trường hợp 1 :
    ->5/4x – 7/2 = 5/8x +3/5
    -> 5/4x – 5/8x = 7/2 +3/5
    -> 5/8x =41/10
    ->x=41/10 : 5/8
    ->x=164/25
    Trường hợp 2 :
    ->5/4x – 7/2=(-5)/8x – 3/5
    ->5/4x + 5/8x = 7/2 – 3/5
    -> 15/8x=29/10
    ->x=29/10 : 15/8
    ->x=116/75
    Vậy x=164/25 hoặc x=116/75
    c,
    |7/5x + 2/3| = |4/3x -1/4|
    Trường hợp 1 :
    ->7/5x + 2/3=4/3x-1/4
    -> 7/5x – 4/3x=(-2)/3-1/4
    -> 1/15x=(-11)/12
    ->x=(-11)/12 : 1/15
    ->x=(-55)/4
    Trường hợp 2 :
    -> 7/5x + 2/3=(-4)/3x +1/4
    -> 7/5+4/3x=(-2)/3+1/4
    ->41/15x=(-5)/12
    ->x=(-5)/12 : 41/15
    ->x=(-25)/164
    Vậy x=(-55)/4 hoặc x=(-25)/164
     

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