Problem:
What is the product of all the roots of the equation
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The right side of the equation is defined only when . If , the equation is equivalent to , and the only solution with is . If , the equation is equivalent to , and the only solution with is . The product of the solutions is .
The problems on this page are the property of the MAA's American Mathematics Competitions