1996 AIME Problems/Problem 11
Problem
Let be the product of the roots of
that have an imaginary part, and suppose that
, where
and
. Find
.
Solution
Solution 1
Thus , or
. Therefore all of the roots are complex, and the answer is
.
Solution 2
See also
1996 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |