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# Apply the theory of this section to confirm that there exist infinitely many

ISBN: 9780073383149 413

## Solution for problem 14 Chapter 15

Elementary Number Theory | 7th Edition

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Elementary Number Theory | 7th Edition

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Problem 14

Apply the theory of this section to confirm that there exist infinitely many primitivePythagorean triples x, y, z in which x and y are consecutive integers.[Hint: Note the identity (s2 - t2) - 2st = (s - t)2 - 2t2.]

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InEqualities: 9/2/16 -Less than: Less than or equal to Greater than Greater than or equal to AB A≥B Transitivity: -If A0 - D-B>0 - Therefore (D+C) – (A+B) >0 - Therefore D+C > A+B Mult. Of Inequalities: - If A>B… If C>0 AC>BC  -3>-6 A=1, B=2, C= -3 Mult. Inverse: - Given a number ,X, the inverse is what the mult. X to get a product of 1. - -2/3 -> -3/2 - Find all numbers X, such that… X-8/X-4 < 3 X-4/1 × X-

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##### ISBN: 9780073383149

The full step-by-step solution to problem: 14 from chapter: 15 was answered by , our top Math solution expert on 03/14/18, 05:19PM. The answer to “Apply the theory of this section to confirm that there exist infinitely many primitivePythagorean triples x, y, z in which x and y are consecutive integers.[Hint: Note the identity (s2 - t2) - 2st = (s - t)2 - 2t2.]” is broken down into a number of easy to follow steps, and 40 words. This textbook survival guide was created for the textbook: Elementary Number Theory, edition: 7. Since the solution to 14 from 15 chapter was answered, more than 214 students have viewed the full step-by-step answer. Elementary Number Theory was written by and is associated to the ISBN: 9780073383149. This full solution covers the following key subjects: . This expansive textbook survival guide covers 16 chapters, and 355 solutions.

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