Объяснение:

[tex]x - 1 = ± \sqrt{3} [/tex]

[tex]x = - \sqrt{3} + 1 \\ x = \sqrt{3} + 1[/tex]

Ответ:

[tex]\boxed{\left [ \begin{array}{ccc} x = \sqrt{3} + 1 \\ x = 1 - \sqrt{3} \end{array}\right}[/tex]

Объяснение:

[tex](x - 1)^{2} = 3[/tex]

[tex]\sqrt{(x - 1)^{2}} = \sqrt{3}[/tex]

[tex]|x - 1| = \sqrt{3}[/tex]

[tex]\left [ \begin{array}{ccc} x - 1 = \sqrt{3} \\ -x + 1 = \sqrt{3} \end{array}\right[/tex]

[tex]\left [ \begin{array}{ccc} x = \sqrt{3} + 1 \\ x = 1 - \sqrt{3} \end{array}\right[/tex]