#### Title

Pell’s Equation and Continued Fractions

#### Date

5-28-2015 9:50 AM

#### End Time

28-5-2015 10:05 AM

#### Location

Math & Nursing Building (MNB) 104

#### Department

Mathematics

#### Session Chair

Cheryl Beaver

#### Session Title

Mathematics Senior Project Presentations

#### Faculty Sponsor(s)

Cheryl Beaver

#### Presentation Type

Presentation

#### Abstract

Pell's equation is the famous equation dx2+1=y2. We will use the continued fraction representation of the irrational number √d to find solutions to this famous equation when d is square-free.

#### Recommended Citation

Peterson, Kyle, "Pell’s Equation and Continued Fractions" (2015). *Academic Excellence Showcase Schedule*. 245.

http://digitalcommons.wou.edu/aes_event/2015/all/245

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Pell’s Equation and Continued Fractions

Math & Nursing Building (MNB) 104

Pell's equation is the famous equation dx2+1=y2. We will use the continued fraction representation of the irrational number √d to find solutions to this famous equation when d is square-free.