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

Toán Lớp 7: `|x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x` giúp

Toán Lớp 7: |x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x
giúp

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     |x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x
    <=>|(101x+1)/101|+|(101x+2)/101|+|(101x+3)/101|+…+|(101x+100)/101|=101x
    Để tồn tại x thì 101x>=0=>x>=0
               Suy ra ta có:
    <=>(101x+1)/101+(101x+2)/101+(101x+3)/101+…+(101x+100)/101=101x
    <=>(100.101x+(1+2+…+100))/101=101x
    <=>100.101x+5050=101^2x
    <=>101(100x+50)=101^2x
    <=>100x+5x=101x
    <=>x=50
    Vậy x=50               

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