Solving The Pell's Equation (x^2-dy^2=1)

This video is about solving the Pell's Equation (x^2-dy^2=1) Become a member here: https://bit.ly/3cBgfR1 My merch: https://teespring.com/stores/sybermath?page=1 x^2-2y^2 (The Prime Case): https://youtu.be/Wl1NCS9OySw Follow me: https://twitter.com/SyberMath Subscribe!!!: https://www.youtube.com/SyberMath?sub_confirmation=1 Problem suggestions: https://forms.gle/ec4YnqwNapZpGQFC8 If you need to post a picture of your solution or idea: https://twitter.com/intent/tweet?text=@SyberMath #NumberTheoryProblems #DiophantineEquations #PellsEquation LINKS: https://en.wikipedia.org/wiki/Pell's_equation https://mathworld.wolfram.com/PellEquation.html https://brilliant.org/wiki/quadratic-diophantine-equations-pells-equation/ https://artofproblemsolving.com/wiki/index.php/Pell_equation EXPLORE: Solving a Functional Equation: https://youtu.be/itfYREkFQRA Inscribing a circle between two equilateral triangles: https://youtu.be/3ESXW6qzAS4 Solving a Quadratic System: https://youtu.be/QAqbRDpxbFM