`|x^2 + 2 | x - 1/2 || = x^2 + 2`
Đk : `x^2 >= 0 ; ∀ x `
`TH1 :`
`x^2 + 2|x - 1/2| = x^2 + 2`
`<=> 2|x - 1/2| = 2 `
`<=> |x - 1/2| = 2 : 2`
`<=> |x - 1/2| = 1`
`<=> x = 1 + 1/2`
`<=> x = 3/2`
`TH2 :``x^2 + 2|x - 1/2| = - x^2 - 2`
`<=> |x - 1/2| = -x^2 + x^2 - 2 - 2`
`<=> |x - 1/2| = 0`
`<=> x + 1/2 = 0`
`<=> x = 0 - 1/2`
`<=> x = -1/2`
`=>` Vậy `x = 3/2` hoặc `x = -1/2`