2023 AMC 12A Problems/Problem 25: Difference between revisions

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	Let <math>a</math> and <math>b</math> be positive integers such that <math>ab + 1</math> divides <math>a^{2} + b^{2}</math>. Show that <math>\frac {a^{2} + b^{2}}{ab + 1}</math> is the square of an integer.		xonk xoink xooks xoinked xoinkers xoinking xoinkations


	~~This is totally this year's problem. Hmmmmmmm. Totally not that IMO question 6~~