2. Consider Pell's equation associated to n = 2: x²2y² = = 1. One of the solutions is N(1, 0) (a) Using computer software, plot the curve H defined by the above equation. (b) Find two solutions where x, y> 0 by trial and error. Call them A(x1, y₁) and B(x2, y2). (c) Find the equation of the line AB.
2. Consider Pell's equation associated to n = 2: x²2y² = = 1. One of the solutions is N(1, 0) (a) Using computer software, plot the curve H defined by the above equation. (b) Find two solutions where x, y> 0 by trial and error. Call them A(x1, y₁) and B(x2, y2). (c) Find the equation of the line AB.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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