Pell's equation without irrational numbers

Abstract

We solve Pell's equation in a simple way without continued fractions or irrational numbers, and relate the algorithm to the Stern Brocot tree.

10 pages, 3 figures added some references, fixed typos, added remarks on Speeding up the algorithm

Cited by in corpus (2)

• Periodic representations and rational approximations of square roots
• Approximations of algebraic irrationalities with matrices