Working with the Nature of Roots
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The problems on this page are solved using the relationships involving the sum and the product of roots.  While other solutions are possible, try to solve the problems using these relationships.

1.

    

a.)  Find the sum of the roots.

b.)  Find the product of the roots.
 

 

2.

Write a quadratic equation whose roots are
.

 

 

3.

   

a.)  Find the sum of the roots.

b.)  Find the product of the roots.
 

 

4.

Write a quadratic equation whose roots are

 

 

5.

     

               
If one of the roots is 4, find the other root.