a. Find an inverse for 210 modulo 13.b. Find a positive

Chapter 8, Problem 31E

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QUESTION:

Problem 31E

a. Find an inverse for 210 modulo 13.

b. Find a positive inverse for 210 modulo 13.

c. Find a positive solution for the congruence 210x ≡ 8 (mod 13).

Questions & Answers

QUESTION:

Problem 31E

a. Find an inverse for 210 modulo 13.

b. Find a positive inverse for 210 modulo 13.

c. Find a positive solution for the congruence 210x ≡ 8 (mod 13).

ANSWER:

Step 1 of 2

a. The inverse for 210 modulo 13 is 10, since 210 x 10 = 2100 = 1600 + 500 = 13 x 123 + 7 = 13 x 124 - 7 = 21(mod13).

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