Nature of the Roots and Relationship between the Coefficients and the Roots of a Quadratic Equation

Which of the following quadratic equations has no real roots?

What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

• The roots are imaginary.

• The roots are irrational and unequal.

• The roots are rational and unequal.

• The roots are real and equal.

• 28

• 35

• 4

• -16

If the discriminant is equal to 121, then the nature of the roots is?

• imaginary

• irrational and unequal

• rational and unequal

• real and equal

• 0

• 121

• 22

• -22

• 8

• -8

• 4

• -4

Which of the following quadratic equations has the roots –1 and 3 ?

• 2/9

• 4

• -9/2

• 3

• 1/3

• -1/3

• -5/12

• 1/2

• 19

• -19

• 20

• -20