Problem: Consider equations of the form . How many such equations have real roots and have coefficients and selected from the set of integers
Answer Choices:
A.
B.
C.
D.
E.
Solution:
For real roots , or . Tabulating the possibilities, we have in all as follows:
When is selected to be (row 1):
The possible values for are (row 2):
The no. of possible values for are (row 3):
