Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.



Find the value of the discriminant. Then describe the number and type of roots for
the equation.


1.

a.  The discriminant
is 244. Because the discriminant is greater than 0 and is not a perfect square, the roots are real
and irrational.  b.  The discriminant is –244. Because the discriminant is less
than 0, the two roots are complex.  c.  The discriminant is –148. Because the discriminant is less
than 0, the two roots are complex.  d.  The discriminant is 196. Because the discriminant is greater
than 0 and is a perfect square, the two roots are real and rational.   


2.

a.  The discriminant
is –41.
Because the discriminant is less than 0, the two roots are
complex.  b.  The discriminant is –23.
Because the
discriminant is less than 0, the two roots are complex.  c.  The discriminant
is 23.
Because the discriminant is greater than 0 and is a perfect square,
the two roots are real and rational.  d.  The discriminant is 9.
Because the
discriminant is greater than 0 and is a perfect square, the two roots are real and
rational.   



Find the exact solution of the following quadratic equation by using the Quadratic
Formula.


3.



4.

a.  {–12,
5}  c.  {–10,
24}  b.  {–5,
12}  d.  {60,
67}     


5.

a.  {16,
22}  c.  {–8,
2}  b.  {–4,
16}  d.  {–2,
8}     
