Problem 2. Solve the congruence equation x( 12 mod 143

Question

Question

Answer 1

Answer #1

Note fhat 143. 13 フ mo lan I mo (mod13ーズ sk .. 0 Using and = 12 is a solut,,on .

Answer 2

Similar Homework Help Questions

(3) Solve the following linear congruence: 271 = 12 mod 39. (4) Solve the following set...

(3) Solve the following linear congruence: 271 = 12 mod 39. (4) Solve the following set of simultaneous linear congruences: 3x = 6 mod 11, x = 5 mod 7 and 2x = 3 mod 15.
Problem 1. Solve the following simultaneous congruence using the Chinese Remainder or the substitution method. a:...

Problem 1. Solve the following simultaneous congruence using the Chinese Remainder or the substitution method. a: 2 (mod 5) a: 0 (mod 7) a: = 1 Problem 1. Solve the following simultaneous congruence using the Chinese Remainder or the substitution method. x = 2 (mod 5) x = 0 (mod 7) El mod 17)
Arrange the steps in the correct order to solve the system of congruences x 2 (mod...

Arrange the steps in the correct order to solve the system of congruences x 2 (mod 3), x 1 mod 4). and x3 (mod 5) using the method of back substitution Rank the options below Thus, x= 31.2 - 3/4 + 1)2 - 120+5 We substitute this into the third congruence to obtain 12.5 13 mod 5), which implesu li imod 5) Hence, w5v4 and so x 12.5 - 12/5 + 4) - 5 - 60v. 53, where vis an...

39. Suppose that the polynomial congruence f(x)0 (mod 7) has two distinct so- 0 lutions, what are the possible number of solutions of the congruence f(x) (mod 49)? 39. Suppose that the polyn...

39. Suppose that the polynomial congruence f(x)0 (mod 7) has two distinct so- 0 lutions, what are the possible number of solutions of the congruence f(x) (mod 49)? 39. Suppose that the polynomial congruence f(x)0 (mod 7) has two distinct so- 0 lutions, what are the possible number of solutions of the congruence f(x) (mod 49)?
20. Divide 6237, by 143 21. Find x in the following congruence statements: a) 42 x...

20. Divide 6237, by 143 21. Find x in the following congruence statements: a) 42 x (mod 6) b) 42 = x (mod 9) e) 42 = x (mod 20) 22. Check the addition of 5321042 + 186752 - 5507794 a) By casting out the nines b) By casting out the elevens 23. Check the multiplication of 386974 x 1274 = 493004876 a) By casting out the nines b) By casting out the elevens 24. Write in unit fractions. 25....
the integer x such that 5 3 (mod 7) 57 (mod 61) e linear congruence 31

the integer x such that 5 3 (mod 7) 57 (mod 61) e linear congruence 31

1. Solve each linear congruence for all integers x so that 0 sx <m a) 11x...

1. Solve each linear congruence for all integers x so that 0 sx <m a) 11x 8 (mod 57) b) 14x 3 (mod 231)
Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d Soue the con...

Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d Soue the congruente eguation axblmod 13) d a a Ti a V) a 4 v) a P vi a- s Solve the congruence equation arb(mod 13). b-7 d 1. 11. d-9 1, b 8, d9 4, b6 d a2, b6 dm4 5, b8d Soue the congruente eguation axblmod 13) d a a Ti a V) a 4...
13. Solve the congruence: 341x = 2941 (mod 9). v Hint First reduce each number modulo...

13. Solve the congruence: 341x = 2941 (mod 9). v Hint First reduce each number modulo 9, which can be done by adding up the digits of the numbers.

(b) Find the 2 elements x in Φ(289) such that x2 = 77 (mod 289)

(b) Find the 2 elements x in Φ(289) such that x2 = 77 (mod 289) (Hint. First solve the congruence modulo 17.)