Sample Problems
- Given that
where and are positive integers and is as large as possible, find (2003 AIME I #1)
- Solution: 839
- If the integer is added to each of the numbers, and, one obtains the squares of three consecutive terms of an arithmetic series. Find . (1989 AIME #7)
- Solution: 925
- Complex numbers, and are the zeros of a polynomial, and . The points corresponding to, and in the complex plane are the vertices of a right triangle with hypotenuse . Find . (2012 AIME I #14)
- Solution: 375
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