On the Positive Pellian Equation y2 = 48x2 + 16

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-59 Number-4
Year of Publication : 2018
Authors : Shreemathi Adiga , N. Anusheela and M.A. Gopalan
  10.14445/22315373/IJMTT-V59P536

MLA

MLA Style: Shreemathi Adiga , N. Anusheela and M.A. Gopalan "On the Positive Pellian Equation y2 = 48x2 + 16 " International Journal of Mathematics Trends and Technology 59.4 (2018): 256-264.

APA Style: Shreemathi Adiga , N. Anusheela and M.A. Gopalan (2018). On the Positive Pellian Equation y2 = 48x2 + 16. International Journal of Mathematics Trends and Technology, 59(4), 256-264.

Abstract
The hyperbola represented by the binary quadratic equation y2 = 48x2 + 16 is analyzed for finding its non-zero distinct integer solutions. A few interesting relations among its solutions are presented. Also, knowing an integral solution of the given hyperbola, integer solutions for other choices of hyperbolas and parabolas are presented. Employing the solutions, a special Pythagorean triangle is constructed.

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Keywords
Binary quadratic, Hyperbola, Parabola, Pell equation, Integral solutions.