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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

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

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

Tháng Hai 9, 2023 Toán học 2 Comments 0 views

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

Comments ( 2 )

  1. huongtructram
    huongtructram
    9 Tháng Hai, 2023 at 3:44 sáng
    Reply
    Giải đáp:
    $x=\dfrac{-3999}{2}$
    Lời giải và giải thích chi tiết:
    $x+\dfrac{2}{1.5}+\dfrac{2}{5.9}\ \!\!+\! \ \!.\!.\!.+\ \dfrac{2}{101.105}=-1999\dfrac{1}{210}\\\Rightarrow2x+\dfrac{4}{1.5}+\dfrac{4}{5.9}\ \!\!+\! \ \!.\!.\!.+\ \dfrac{4}{101.105}=-3998\dfrac{1}{105}\\\Rightarrow2x+1-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}\ \!\!+\! \ \!.\!.\!.+\ \dfrac{1}{101}-\dfrac{1}{105}=-3998\dfrac{1}{105}\\\Rightarrow2x+1-\dfrac{1}{105}=-3998\dfrac{1}{105}\\\Rightarrow2x+\dfrac{104}{105}=-3998\dfrac{1}{105}\\\Rightarrow2x=-3999\\\Rightarrow x=\dfrac{-3999}{2}$
    Vậy $x=\dfrac{-3999}{2}$.

  2. dongoclandiem
    dongoclandiem
    9 Tháng Hai, 2023 at 3:44 sáng
    Reply
    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 = ? ( )

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