Mock AIME 1 Pre 2005 Problems/Problem 5
Problem
Let and be the two real values of for which The smaller of the two values can be expressed as , where and are integers. Compute .
Solution
Let . Then and . Factoring,
Solving gives us the quadratic . The quadratic formula yields , and . Therefore, .
See also
Mock AIME 1 Pre 2005 (Problems, Source) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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