Supose you have a number 12340 that has a prime factorization of 22*5*617. What are the solutions to each of the following? (Use the most efficient method for each problem, some may require different methods. Do not use brute force) x2 ≡ 0(mod 4), x2 ≡ 1(mod 5), x2 ≡ 23(mod 617), and x2 ≡ 1234(mod 12340)
Supose you have a number 12340 that has a prime factorization of 22*5*617. What are the solutions to each of the following? (Use the most efficient method for each problem, some may require different methods. Do not use brute force) x2 ≡ 0(mod 4), x2 ≡ 1(mod 5), x2 ≡ 23(mod 617), and x2 ≡ 1234(mod 12340)
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
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
Problem 49WE
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Supose you have a number 12340 that has a prime factorization of 22*5*617. What are the solutions to each of the following? (Use the most efficient method for each problem, some may require different methods. Do not use brute force)
x2 ≡ 0(mod 4), x2 ≡ 1(mod 5), x2 ≡ 23(mod 617), and x2 ≡ 1234(mod 12340)
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