Problem 53955. Determine Fundamental Solution of Pell Equation

Created by David Hill

Difficulty:Rate

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Given, a positive value (d), determine the fundamental solution [x, y] of the Pell equation: x^2 - d*y^2 = 1.
Provide character arrays of the outputs (x and y).
For example:
d=5;
[x,y]=pell(d)
x =
    '9'
y =
    '4'

Solve

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Last Solution submitted on May 11, 2024

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2 Comments

William on 23 Apr 2022

The value of x_correct in Test #1 should be 1079 rather than 1089. I have verified this using the tabulated results for x and y in the Wikipedia.

William on 23 Apr 2022

Oh, I see. If you use (x,y) = (1,0) for the 10 cases in which d is a perfect square, then x_correct does become 1089 in Test #1.

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Problem 53955. Determine Fundamental Solution of Pell Equation

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Problem 53955. Determine Fundamental Solution of Pell Equation

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