1995 AIME Problems/Problem 2
From AoPSWiki
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 the quadratic equation 
. Applying the quadratic formula yields that 
. Thus, the product of the two roots (both of which are positive) is 
, making the solution 
.
See also
| 1995 AIME (Problems • Resources) | ||
| Preceded by Problem 1 | Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
