1995 AIME Problems/Problem 2
Problem
Find the last three digits of the product of the positive roots of
.
Solution
Taking the (logarithm) of both sides and then moving to one side yields a quadratic equation:
. Applying the quadratic formula yields that
. Thus, the product of the two roots is
, making the solution
.
See also
1995 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |