`Với x ≥ \sqrt{3}`
`⇒ |x^2 - 3| = |x - \sqrt{3}|`
`⇒ x^2 - 3 = x - \sqrt{3}`
`⇒ (x - \sqrt{3})(x + \sqrt{3}) - (x - \sqrt{3}) = 0`
`⇒ (x - \sqrt{3})(x + \sqrt{3} - 1) = 0`
⇒ \(\left[ \begin{array}{l}x = \sqrt{3}\\x = 1 - \sqrt{3}\end{array} \right.\)
`Với x < \sqrt{3}`
`⇒ | x^2 - 3| = | x - \sqrt{3}|`
`⇒ 3 - x^2 = \sqrt{3} - x`
`⇒ (\sqrt{3} - x)(\sqrt{3} + x) = (\sqrt{3} - x)`
`⇒ (\sqrt{3} - x)(\sqrt{3} + x - 1) = 0`
⇒ \(\left[ \begin{array}{l}x = \sqrt{3}\\x = 1 - \sqrt{3}\end{array} \right.\)
`Vậy S = { \sqrt{3} ; 1 - \sqrt{3}}`