Abstract
In this paper, we show that by using Maple software, some direct searching computation could derive a solution to Problem 6 of the 1988 International Mathematics Olympiad, which asks to prove that if a and b are integers such that \(ab+1\) divides \(a^2+b^2\), then \((a^2+b^2)/(ab+1)\) is the square of an integer.
Supported by the National Natural Science Foundation of China Project No. 11471209.
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Acknowledgment
The authors would like to express their appreciation to the anonymous reviewers for their valuable comments and suggestions.
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Zeng, Z., Sun, X., Huang, Y., Xu, Y., Chen, X., Yang, L. (2021). A Maple Exploration of Problem 6 of the IMO 88. In: Corless, R.M., Gerhard, J., Kotsireas, I.S. (eds) Maple in Mathematics Education and Research. MC 2020. Communications in Computer and Information Science, vol 1414. Springer, Cham. https://doi.org/10.1007/978-3-030-81698-8_28
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DOI: https://doi.org/10.1007/978-3-030-81698-8_28
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