Find a solution of 621m + 483n = k, where k is the gcd of 621 and 483.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 56EQ
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1- Find a solution of 621m + 483n = k, where k is the gcd of 621 and 483.

2- Use Hensel’s Lemma to find all the solution x3−x+ 1 ≡ 0 (mod 25) and make sure to check your answer.

I want to solve the two questions

with details plz.

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