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A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x? + y² = z², where x, y and z are pairwisely relatively prime integers. Determine exactly 10 primitive Pythagorean triples and be able to exhibit that they satisfy the given equation.

A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x? + y² = z², where x, y and z are pairwisely relatively prime integers. Determine exactly 10 primitive Pythagorean triples and be able to exhibit that they satisfy the given equation.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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Determine exactly 10 primitive Pythagorean triples and be able to exhibit that they satisfy the given equation.

1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x? + y? = z?, where x, y and z are pairwisely relatively prime integers. Determine exactly 10 primitive Pythagorean triples and be able to exhibit that they satisfy the given equation.
Transcribed Image Text:1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x? + y? = z?, where x, y and z are pairwisely relatively prime integers. Determine exactly 10 primitive Pythagorean triples and be able to exhibit that they satisfy the given equation.
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