2002 AIME I Problems/Problem 6
Problem
The solutions to the system of equations
are and . Find .
Solution
Let and let .
From the first equation: .
Plugging this into the second equation yields and thus, .
So, .
And .
Thus, .
One may simplify the work by applying Vieta's formulas to directly find that .
See also
2002 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AIME Problems and Solutions |