Practice with the Discriminant
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Try the following questions:

1.

Which equation has imaginary roots?   







 
2.

What is the nature of the roots of ?  

real, rational, unequal
 real, rational, equal  
 not real, complex
real, irrational, unequal

 

 

3.

The roots of a quadratic equation may be 

imaginary and equal
 rational and equal
irrational and equal
 all of the above

 

 

4.

Which equation has real, rational roots that are equal roots?   




 

 

5.

Which of the following could not be the roots of a quadratic equation?   

{4, -5}
 {3}
{2i, -2i}
 {3 + 4i ,  -3 - 4i}