Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Intro to Elementary Number Theory homework problem. Make sure your handwriting is neat and readable.

 

Suppose that g is the greatest common divisor of a = 10 and b = 678, then Bezout's identity guarantees that there exist integers x, y such that 10x +678y = g. Find the smallest positive integer x such that 10x +678y=g for some integer y. Enter x below.
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Transcribed Image Text:Suppose that g is the greatest common divisor of a = 10 and b = 678, then Bezout's identity guarantees that there exist integers x, y such that 10x +678y = g. Find the smallest positive integer x such that 10x +678y=g for some integer y. Enter x below.
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Step 1: State the Division Algorithm
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Step 2: Evaluate the smallest positive integer x
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Step 3: Solve the problem
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