x^2 - 19x + 37 = 0

(x - 5)^2 - 8 = 0

Solutions:

x = 5 - 2 sqrt(2)

x = 5 + 2 sqrt(2)

QF : x = -b ± √(b² - 4ac) all over 2a

Here a = 1, b = -10 and c = 37. b² = 100 and -b = 10

10 ± √(100 - 4•1•37) over 2•1

10 ± √ -148 all over 2

so the answer is not real

10 ± (-4 • 37) over 2

10 ± 2i √37 over 2

5 ± i √37