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maths i need help with quadratics example (x-2)squared +1

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                         (x - 2)² + 1 = 0
                 (x - 2)(x - 2) + 1 = 0
          x(x - 2) - 2(x - 2) + 1 = 0
x(x) - x(2) - 2(x) + 2(2) + 1 = 0
            x² - 2x - 2x + 4 + 1 = 0
                   x² - 4x + 4 + 1 = 0
                         x² - 4x + 5 = 0
                                        x = -(-4) ± √((-4)² - 4(1)(5))
                                                             2(1)
                                        x = 4 ± √(16 - 20)
                                                        2
                                        x = 4 ± √(-4)
                                                   2
                                        x = 4 ± 2i
                                                  2
                                        x = 2 ± i
                                        x = 2 + i    U    x = 2 - i
                                        The solution set is {2 ± i}.
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