Demonstrate that the equation x10 + y10 - z10 = 5 has no integer solution. (work with modulo 11)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
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Demonstrate that the equation x10 + y10 - z10 = 5 has no integer solution. (work with modulo 11)

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