Write the given quadratic equation in the standard form ax^2 + bx + c = 0
x^2 - 6x + 21 = 0.
The discriminant is
d = b^2 - 4ac = (-6)^2 - 4*1*21 = 36 - 84 = -48.
Since the discriminant is negative, we conclude that the given equation
has two different roots that are complex numbers.