2000 AMC 12 Problems/Problem 15
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Problem
Let 
be a function for which 
. Find the sum of all values of 
for which 
.
Solution
Let 
; then 
. Thus 
, and 
. These sum up to 
.
Alternative solution: When we have 
, we just use Vieta's and get the sum is 
See also
| 2000 AMC 12 (Problems • Resources) | ||
| Preceded by Problem 14 | Followed by Problem 16 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
