2000 AMC 12 Problems/Problem 15
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 • Answer Key • Resources) | |
Preceded by Problem 14 |
Followed by Problem 16 |
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All AMC 12 Problems and Solutions |