So sánh: 2020^2019 + 2020^2020 và 2021^2020.

Question

So sánh: 2020^2019 + 2020^2020 và 2021^2020.

in progress 0
Doris 6 years 2020-10-26T10:44:22+00:00 2 Answers 472 views 0

Answers ( )

  1. Giakhanh
    -1
    2020-10-26T10:45:44+00:00
    Reply

    `2020^2019+2020^2020=2020^2019 . (1+2020)=2021 . 2020^2019`

    `2021^2020=2021 . 2021^2019`

    Do `0<2020<2021`

    `=> 2021 . 2020^2019<2021 . 2021^2019`

    `=> 2020^2019+2020^2020<2021^2020`

  2. Calantha
    2
    2020-10-26T10:46:16+00:00
    Reply

    Đáp án:

    $2021^{2020} > 2020^{2019} + 2020^{2020}$

    Giải thích các bước giải:

    $+) \quad 2020^{2019} + 2020^{2020}$

    $= 2020^{2019} + 2020^{2019}.2020$

    $= 2020^{2019}.2021$

    $+) \quad 2021^{2020}$

    $= 2021^{2019}.2021$

    Do $2021 > 2020$

    $\to 2021^{2019} > 2020^{2019}$

    $\to 2021^{2019}.2021 > 2020^{2019}.2021$

    $\to 2021^{2020} > 2020^{2019} + 2020^{2020}$

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )