Art of Problem Solving

1988 IMO Problems/Problem 6: Revision history

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  • curprev 17:5817:58, 29 September 2007 Me@home talk contribs 1,275 bytes +1,275 New page: 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 s...