(2×X-1)²=5⁴:25 Làm hộ mình với ạ

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1. `(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

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2. $(2×x-1)^{2}$ `=`$5^{4}$ : `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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