a. one real root

b. two real roots

c. two imaginary roots

c. cannot be determined

a. one real root

b. two real roots

c. two imaginary roots

c. cannot be determined

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X^{2} - 4X - x +4 =0

X^{2 }- 5X + 4 = 0

4 + 1 = 5 4(1) = 4

Therefore Quadratic can be factored into

( X - 4 ) ( X - 1 ) = 0

X = 4 X = 1 are the roots, they are integers.

*To identify the nature of roots, you have to analyze the discriminant (D)
*

* ax ^{2} + bx + c = 0 *

x

x

a = 1, b = - 5, c = 4

D = (-5)

D = 9 > 0

Thus, the answer is

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