(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}.