Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Suppose x satisfies the three simultaneous congruences X = 4 (mod 5) x = 7 (mod 8) X 10 (mod 11) Since 5 x 8 x 11 = 440 and 4x7x10=280, there will always be %3D no solution since 8 is not prime. a unique value of x (mod 440). a moon over Marin. no solution since 5 and 10 are not relatively prime. a unique value of x (mod 280).

Suppose x satisfies the three simultaneous congruences X = 4 (mod 5) x = 7 (mod 8) X 10 (mod 11) Since 5 x 8 x 11 = 440 and 4x7x10=280, there will always be %3D no solution since 8 is not prime. a unique value of x (mod 440). a moon over Marin. no solution since 5 and 10 are not relatively prime. a unique value of x (mod 280).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Question 10 Suppose x satisfies the three simultaneous congruences X 4 (mod 5) X 7 (mod 8) X 10 (mod 11) Since 5 x 8 x 11 = 440 and 4x7x10=280, there will always be no solution since 8 is not prime. a unique value of x (mod 440). a moon over Marin. no solution since 5 and 10 are not relatively prime. a unique value of x (mod 280).
Transcribed Image Text:Question 10 Suppose x satisfies the three simultaneous congruences X 4 (mod 5) X 7 (mod 8) X 10 (mod 11) Since 5 x 8 x 11 = 440 and 4x7x10=280, there will always be no solution since 8 is not prime. a unique value of x (mod 440). a moon over Marin. no solution since 5 and 10 are not relatively prime. a unique value of x (mod 280).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS