A Maple Exploration of Problem 6 of the IMO 88

Z Zeng, X Sun, Y Huang, Y Xu, X Chen… - Maple in Mathematics …, 2021 - Springer
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 ab+ 1 divides a^ 2+ b^ 2 a 2+ b 2,
then (a^ 2+ b^ 2)/(ab+ 1)(a 2+ b 2)/(ab+ 1) is the square of an integer.

A Maple Exploration of Problem 6 of the IMO 88

X Chen, L Yang - Maple in Mathematics Education and Research …, 2021 - books.google.com
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 a2+ b2, then (a2+ b2)/(ab+
1) is the square of an integer.
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