Question

Tìm x

|3x-1|=x+2

Giúp với mình cần gấp, cảm ơn

Answer 1

`#3107.101107`

`|3x - 1| = x + 2`

`\Rightarrow` TH1: `3x - 1 = x + 2`

`\Rightarrow 3x - x = 2 + 1`

`\Rightarrow 2x = 3`

`\Rightarrow x =` $\dfrac{3}2$

TH2: `3x - 1 = -(x + 2)`

`\Rightarrow 3x - 1 = -x - 2`

`\Rightarrow 3x + x = -2 + 1`

`\Rightarrow 4x = -1`

`\Rightarrow x =` $\dfrac{-1}4$

Vậy, \(x\in\left\{-\dfrac{1}{4};\dfrac{3}{2}\right\}.\)

Answer 2

|3x - 1| = x + 2

*) TH1: x ≥ 1/3, ta có:

|3x - 1| = x + 2

3x + 1 = x + 2

3x - x = 2 - 1

2x = 1

x = 1/2 (nhận)

*) TH2: x < 1/3, ta có:

|3x - 1| = x + 1

1 - 3x = x + 1

-3x - x = 1 - 1

-4x = 0

x = 0 (nhận)

Vậy x = 0; x = 1/2

Answer 3

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