$x^2 - 12x + 32 = 0$; the numbers are real and rational

$x^2 - 12x + 32 = 0$; the numbers are real and irrational

$x^2 + 12x + 32 = 0$; the numbers are complex

$x^2 - 12x - 32 = 0$; the numbers are real and distinct