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

Toán Lớp 8: Giúp mik với, học online mà cô cho bài lày `|x+2019|+|2020+x|+|2021+x|=13x`

Toán Lớp 8: Giúp mik với, học online mà cô cho bài lày
|x+2019|+|2020+x|+|2021+x|=13x

Comments ( 2 )

  1. Ta có :
    |x + 2019| ≥ 0 ∀ x
    |x + 2020| ≥ 0 ∀ x
    |x + 2021| ≥ 0 ∀ x
    => |x + 2019| + |x + 2020| + |x + 2021| ≥ 0 ∀ x
    => 13x ≥ 0
    (=) x ≥ 0
    Khi đó phương trình đã cho trở thành :
    x + 2019 + x + 2020 + x + 2021 = 13x (vì x ≥ 0)
    (=) 10x = 6060
    (=) x = 606 ™
    Vậy x = 606

  2. Ta có:
    |x+2019|$\geq$ 0
    |2020+x|$\geq$ 0
    |2021+x|$\geq$ 0
    =>|x+2019|+|2020+x|+|2021+x|$\geq$ 0=>13x$\geq$ 0=>x$\geq$ 0
    =>|x+2019|=x+2019
      |2020+x|=2020+x
      |2021+x|=2021+x
    =>x+2019+2020+x+2021+x=13x
    =>3x+2019+2020+2021=13x
    =>(2019+2021)+2020=10x
    =>4040+2020=10x
    =>6060=10x
    =>6060:10=x
    =>606=x
    Vậy x=606

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

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