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

Toán Lớp 6: x +2/1.5+2/5.9+-+2/101.105= “-1999” 1/210 giúp

Toán Lớp 6: x +2/1.5+2/5.9+….+2/101.105= “-1999” 1/210
giúp

Comments ( 2 )

  1. x + 2/( 1 . 5 ) + 2/( 5 . 9 ) + …. + 2/( 101 . 105 ) = – 1999 1/210
    ⇔ 2x + 4/( 1 . 5 ) + 4/( 5 . 9 ) + …. + 4/( 101 . 105 ) = – 3998 1/210 . 2
    ⇔ 2x + 1/1 – 1/5 + 1/5 – 1/9 + …. + 1/101 – 1/105 = – 3998 1/105
    ⇔ 2x + 1 – 1/105 = – 3998 1/105
    ⇔ 2x + 104/105 = – 3998 1/105
    ⇔ 2x = – 3998 1/105 – 104/105
    ⇔ 2x = – 3999
    ⇔ x = – 3999 : 2
    ⇔ x = ( – 3999 )/2
    Vậy , x = ( – 3999 )/2 .   

  2. giải thích các bước giải :
    x+2/1.5+2/5.9+….+2/101.105= -1999(1)/210
    ↔️x+1/2 . (1-1/5+1/5-1/9+…+1/101-1/105)=-1999(1)/210
    ↔️x+1/2 . (1-1/105)=-1999(1)/210
    ↔️x+1/2 . 104/105=-1999(1)/210
    ↔️x+52/105=-1999(1)/210
    ↔️x=-1999(1)/210-52/105
    ↔️x=-1999(1)/2 

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