Solution:
The discriminant tells us the nature of roots of the quadratic equation. If
b² - 4ac > 0 , the roots are real and distinct
b² - 4ac = 0 , the roots are real and equal
b² - 4ac < 0 , the roots are imaginary
The values of a, b, and c of the quadratic equation are
a = 1
b = -1
c = 2
The discriminant of the quadratic equation is
D = b² - 4ac
D = (-1)² - 4(1)(2)
D = 1 - 8
D = -7
Since the discriminant is less than 0, there are no real roots.
The answer is D. No real roots (imaginary).
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