Topology of Numbers · Problem 4.2.4

Classification of Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · 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