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

Toán Lớp 7: tìm x, biết: (x+2)/21 + (x+2)/22 + (x+2)/23 = (x+2)/27 + (x+2)/28

Toán Lớp 7: tìm x, biết: (x+2)/21 + (x+2)/22 + (x+2)/23 = (x+2)/27 + (x+2)/28

Comments ( 2 )

  1. Giải đáp: x = -2
     
    Lời giải và giải thích chi tiết:
    $\dfrac{x + 2}{21}$ + $\dfrac{x + 2}{22}$ + $\dfrac{x + 2}{23}$ = $\dfrac{x + 2}{27}$ + $\dfrac{x + 2}{28}$
    ⇔ $\dfrac{x + 2}{21}$ + $\dfrac{x + 2}{22}$ + $\dfrac{x + 2}{23}$ – $\dfrac{x + 2}{27}$ – $\dfrac{x + 2}{28}$ = 0
    ⇔ (x + 2) ($\dfrac{1}{21}$ + $\dfrac{1}{22}$ + $\dfrac{1}{23}$ – $\dfrac{1}{27}$ – $\dfrac{1}{28}$ )= 0
    mà $\dfrac{1}{21}$ + $\dfrac{1}{22}$ + $\dfrac{1}{23}$ – $\dfrac{1}{27}$ – $\dfrac{1}{28}$ $\neq$ 0
    ⇔ x  + 2 = 0
    ⇔ x = -2
                           Vậy x = -2

  2. (x+2)/21 + (x+2)/22 + (x+2)/23 = (x+2)/27 + (x+2)/28
    => (x+2)/21 + (x+2)/22 +(x+2)/23 -(x+2)/27 -(x+2)/28=0
    =>(x+2)(1/21 + 1/22 + 1/23 – 1/27 – 1/28)=0
    Vì 1/21 + 1/22 + 1/23 – 1/27 – 1/28 ne 0
    =>x+2=0
    => x=0-2
    => x=-2
    Vậy x=-2
     

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

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