(2×X-1)²=5⁴:25 Làm hộ mình với ạ

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(2×X-1)²=5⁴:25
Làm hộ mình với ạ

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Nem 4 years 2020-10-15T13:42:22+00:00 2 Answers 135 views 0

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  1. Vodka
    0
    2020-10-15T13:43:41+00:00
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    `(2x – 1)² = 5⁴ : 25`

    Trường hợp 1:

    `(2x – 1)² = 5⁴ : 5 ²`

    `(2x – 1)² = 5²`

    `→ (2x – 1) = 5`

    `→ 2x = 6`

    `→ x = 3`

    Trường hợp 2:

    `(2x – 1)² = – 5²` `(`Vì `- 5² = 5²)`

    `→ (2x – 1) = – 5`

    `→ 2x = – 4`

    `→ x = – 4 : 2`

    `→ x = – 2`

    Vậy, `x ∈ {3; – 2}`

    – Answered by Meett1605

  2. Nick
    0
    2020-10-15T13:44:18+00:00
    Reply

    $(2×x-1)^{2}$ `=`$5^{4}$ : `25`

    `⇒` $(2×x-1)^{2}$ `=` $5^{4}$ : $5^{2}$

    `⇒` $(2×x-1)^{2}$ `=` $5^{2}$

    `⇒` `2×x-1` `=` `±5`

    Trường hợp `1` : 

    `2×x-1` `=`  `5`

    `⇒` `2×x` `=` `5+1`

    `⇒` `2×x` `=` `6`

    `⇒` `x` `=` `6:2`

    `⇒` `x` `=` `3`

    Trường hợp `2` :

    `2×x-1` `=` `-5`

    `⇒` `2×x` `=` `-5+1`

    `⇒` `2×x` `=` `-4`

    `⇒` `x` `=` `-4:2`

    `⇒` `x` `=` `-2`

    Vậy `x` `∈` `{ `3` ; `-2` }`

     

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