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

Toán Lớp 6: Tìm`x`. `|x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x`.

Home/ Toán Lớp 6: Tìm`x`. `|x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x`.

Toán Lớp 6: Tìm`x`. `|x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x`.

Tháng Hai 17, 2023 Toán học 2 Comments 0 views

Toán Lớp 6: Tìmx.
|x+1/101|+|x+2/101|+|x+3/101|+…+|x+100/101|=101x.

Comments ( 2 )

  1. tuyethutanhthu
    tuyethutanhthu
    17 Tháng Hai, 2023 at 5:43 sáng
    Reply
    Do |x + 1/101| + |x + 2/101| + |x + 3/101| + … + |x + 100/101| ≥ 0 \forall x ∈ NN
    => 101x ≥ 0
    => |x + 1/101| + |x + 2/101| + |x + 3/101| + … + |x + 100/101| = 101x
    => x + 1/101 + x + 2/101 + x + 3/101 + … + x + 100/101 = 101x
    => (x + x + … + x) + (1/101 + 2/101 + 3/101 + … + 100/101) = 101x
    => 100x + ((100 + 1) . 100 : 2)/101 = 101x
    => 100x + (101 . 50)/101 = 101x
    => 100 x + 50 = 101x
    => 100 x – 101 x = -50
    => -x = – 50
    => x = 50
    Vậy x = 50

  2. thanhtung
    thanhtung
    17 Tháng Hai, 2023 at 5:43 sáng
    Reply
    Bạn xem hình ạ

    toan-lop-6-tim-1-101-2-101-3-101-100-101-101

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

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