7.3.) Let sandt be odd integers with s>tz 1 and gcd (s, t)= 1. Prove that the three numbers 5²- t² 1 and 5²+t² 2 st, 2 are pairwise relatively prime; that is, each relatively prine. This fort of the Pythagorean triples theorem. pair of them is was needed to complete the proof

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
7.3
7.3. Let sandt be odd integers with s>tz 1
and gcd (s, t)= 1. Prove that the three numbers
5²-t²
1 and 5²+1²
2
2
st,
are painuvise relatively prime; that is, each pair of them is
relatively prine. This fort was needed to complete the proof
of the Pythagorean triples theorem.
Transcribed Image Text:7.3. Let sandt be odd integers with s>tz 1 and gcd (s, t)= 1. Prove that the three numbers 5²-t² 1 and 5²+1² 2 2 st, are painuvise relatively prime; that is, each pair of them is relatively prine. This fort was needed to complete the proof of the Pythagorean triples theorem.
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