Use Euler's Theorem to find a number x between 0 and 28 with x85congruent to 6 modulo 35. (You should not need to use any brute force searching.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 35E
icon
Related questions
icon
Concept explainers
Topic Video
Question

Solve 9th question

8. Use Euler's Theorem to find a number a between 0 and 9 such that a is congruent to 7
1000 modulo 10. (Note that this is the same as the last digit of the decimal expansion of
7 1000 .)
9. Use Euler's Theorem to find a number x between 0 and 28 with x85congruent to 6
modulo 35. (You should not need to use any brute force searching.)
Transcribed Image Text:8. Use Euler's Theorem to find a number a between 0 and 9 such that a is congruent to 7 1000 modulo 10. (Note that this is the same as the last digit of the decimal expansion of 7 1000 .) 9. Use Euler's Theorem to find a number x between 0 and 28 with x85congruent to 6 modulo 35. (You should not need to use any brute force searching.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,