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For the equation \((x-1)^2 - 2 = 0\), the set of solutions is

\(S = \left\{1-\sqrt{2},\,1+\sqrt{2}\right\}\)
\(S = \left\{-2,4\right\}\)
\(S = \left\{-\sqrt{2},\sqrt{2}\right\}\)
\(S = \left\{-1,1\right\}\)