Hatcher-Topology-of-Numbers · Problem 4.2.4

Classification of Quadratic Forms

Mathematics — Algebraic Topology · continued-fractions-quadratic-forms

Problem

Use a quadratic form to compute continued fractions for the following pairs of numbers: (a)

(3+\sqrt{6})/2

and

(3-\sqrt{6})/2

(b)

(11+\sqrt{13})/6

and

(11-\sqrt{13})/6

(c)

(14+\sqrt{7})/9

and

(14-\sqrt{7})/9