1991 AIME Problems/Problem 7
Problem
Find , where
is the sum of the absolute values of all roots of the following equation:

Solution
The given finite expansion can be easily seen that reduces to solve the quadratic equation . The solutions are
. Therefore,
. We conclude that
.
See also
1991 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AIME Problems and Solutions |