Question

Find a solution to this system of congruences: a ≡ 7 mod 12 a ≡ 36...

Find a solution to this system of congruences:

a ≡ 7 mod 12

a ≡ 36 mod 41

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the solution the solutions of the following congruences a.13x \equiv 20 (mod 33) b.116x \equiv...
Find the solution the solutions of the following congruences a.13x \equiv 20 (mod 33) b.116x \equiv 41(mod 160)
Solve the system of congruences 3x+4= 2 (mod 7) x-13= 24 (mod 29)
Solve the system of congruences 3x+4= 2 (mod 7) x-13= 24 (mod 29)
Solve the system of congruences: x = 1 (mod 3) x = 2 (mod 4) x...
Solve the system of congruences: x = 1 (mod 3) x = 2 (mod 4) x = 2 (mod 5)
7. a. Verify the following congruences: 105 ≡ 5 (mod 20) 189 ≡ 9 (mod 15)...
7. a. Verify the following congruences: 105 ≡ 5 (mod 20) 189 ≡ 9 (mod 15) b. Verify that ( 105 + 30 ) ≡ ( 5 + 10 ) (mod 20) c. Try to show that in general, if M≡a (mod L) and N≡b (mod L) then M+N≡a+b (mod L)
For each of the following congruences if there is a solution, express the solution in the...
For each of the following congruences if there is a solution, express the solution in the form x ≡  some_number  (mod some_modulus), e.g. x ≡ 6 (mod 9). To standardize answers,  some_number should always be a value in the range {0, 1, 2, ..., some_modulus -1}. For example x ≡ 5 (mod 8) is OK but x ≡ 13 (mod 8) is not. If there is no solution say "No solution". You don't have to show work for any of the problems. Type...
Which of the following congruences have solutions? a) x2 Congruent 7(mod 53) b) x2 Congruent 14(mod...
Which of the following congruences have solutions? a) x2 Congruent 7(mod 53) b) x2 Congruent 14(mod 31) c) x2 Congruent 53(mod 7) d) x2 Congruent 25(mod 997) All of them please!!
find the following square roots. A. √8( mod 41) B. √7(mod 41) C. √7 (mod 19)...
find the following square roots. A. √8( mod 41) B. √7(mod 41) C. √7 (mod 19) D. √7 (mod 29) E. √5 (mod 29)
Question 1 Consider the system of congruences x ≡ 19 (mod 23), x ≡ 8 (mod...
Question 1 Consider the system of congruences x ≡ 19 (mod 23), x ≡ 8 (mod 29). The smallest positive solution to this system is...... Question 2 Out of 8 consonants and 5 vowels, the number of words of 2 consonants and 2 vowels can be formed is ....... Question 3 In a group of 7 men and 8 women, a committee with 5 people is to be selected. The number of ways to form this committee so that at...
Find all solutions to the following sets of simultaneous congruences (a) x ≡ 10 mod 27...
Find all solutions to the following sets of simultaneous congruences (a) x ≡ 10 mod 27 and x ≡ 172 mod 243 (b) x ≡ 10 mod 27 and x ≡ 172 mod 243 and x ≡ 163 mod 225 (c) x ≡ 10 mod 27 and x ≡ 172 mod 243 and x ≡ 162 mod 225
Solve each of the following congruences or explain why it is not solvable: (i) x2 +...
Solve each of the following congruences or explain why it is not solvable: (i) x2 + 5x + 7 ≡ 0(mod 41). (ii) x2 ≡ 11(mod 125)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT