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

Toán Lớp 7: tim x biet 0,5 – |5/4-2x| = 1/3

Toán Lớp 7: tim x biet 0,5 – |5/4-2x| = 1/3

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết :
    0,5 – | 5/4 – 2x | = 1/3
    ⇔ – | 5/4 – 2x | = 1/3 – 0,5
    ⇔ – | 5/4 – 2x | = 1/3 – 1/2
    ⇔ – | 5/4 – 2x | = 2/6 – 3/6
    ⇔ – | 5/4 – 2x | = – 1/6
    ⇔ | 5/4 – 2x | = 1/6
    ⇔ \(\left[ \begin{array}{l}\frac{5}{4}-2x=\frac{1}{6}\\\frac{5}{4}-2x=-\frac{1}{6}\end{array} \right.\)  
    ⇔ \(\left[ \begin{array}{l}-2x=\frac{1}{6}-\frac{5}{4}\\-2x=-\frac{1}{6}-\frac{5}{4}\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}-2x=-\frac{13}{12}\\-2x=-\frac{17}{12}\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=\frac{13}{24}\\x=\frac{17}{24}\end{array} \right.\) 
    Vậy x = \frac{13}{24} ; x = \frac{17}{24}
    $# Mon $
    $# Xin Hay Nhất $
     

  2. 0,5-|5/4-2x|=1/3
    |5/4-2x|=0,5-1/3
    |5/4-2x|=3/6-2/6
    |5/4-2x|=1/6
    Trường hợp 1
    5/4-2x=1/6
    2x=5/4-1/6
    2x=15/12-2/12
    2x=13/12
    x=13/12 :2
    x=13/24
    Trường hợp 2
    5/4-2x=-1/6
    2x=5/4-(-1/6)
    2x=15/12+2/12
    2x=17/12
    x=17/12:2
    x=17/24
    Vậy x∈{13/24;17/24}
     

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