Find the four solutions of x* = 1 (mod 13).

Q: What is the number of solutions to the congruence in Z125? x³ + x² + 3 = 0 (mod 125)

A: As per the question we have to solve the following polynomial congruence equation : x3 + x2 + 3 ≡ 0…

Q: Find the solution to 34x = 77(mod 89) that is positive and less than 89.

A: given that                                          34x≡77 (mod 89) we have to find positive…

Q: {X = I (mod 3) 2X= 2 (mod 5)

A:

Q: Find all solutions of the congruence x2 ≡ 29 (mod 35).

A:

Q: just give the handwritten solution. Solve the congruence: 7x^5 congruent to 6(mod 17)

A: The solution is given below

Q: Either solve the congruence, giving the solution as a least residue, or show that it has no…

A:

Q: Find all integer solutions satisfying all the equations given. 5x =1 mod 39 3x =1 mod 25 4x =1 mod…

A: Concept :.   *   ax =6 mod n                           g (d (a,n) = d (let)…

Q: For which integers c, 0<c < 30, does the congruence 12x == c (mod 30) have solutions? When there are…

A: Given congruence is 12x≡c(mod 30). We know that ax ≡b(mod m) have solutions when gcd(a,m) divides b.…

Q: (i)Find the inverse of 5(mod9)     (  ii)Hence or otherwise solve simaltaneous equation…

A:

Q: Find all solutions in {0, 1,2, ..., 12} to x26 + 15x13 = 12 mod 13.

A:

Q: Solve the congruence17x−3 = 4 (mod 26).

A:

Q: the number of incongruent solution of the congruence 8x 10(mod6) is:

A:

Q: Find all the whole number solutions of the congruence equation.x x 5 mod 9

A: The objective is to find all the whole number solutions of the congruence equation.x x = 5 mod 9

Q: the number of incongruent solution of the congruence 8x =10(mod6) is: 8) 4

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

Q: Calculate the inverse of 15 mod 26 (i.e., solve 15 * x ≡ 1  (mod 26))

A:

Q: Find the solutions of the congruence 15x2 + 19x ≡ 5 (mod 16).

A: Congruence modulo relation on integers:Let a,b∈Z and let m be a fixed positive integer. Then we say…

Q: Solve each equation for x.  5x ≡ 2, (mod 7), x, (mod 7) 7x + 1 ≡ 4, (mod 11), x, (mod 11)

A:

Q: Solve for x : 5x ≡ 7 (mod 6).

A: Here remainder is 7 and modulus is 6 we can write it as  5x-7 =6n          Where  is an positive…

Q: solve the congruence of  6x=4 mod 10  aolve the conguence of 341x=2941 mod 9

A:

Q: 2. Find all solutions of the linear congruence 12x = 9 (mod 15).

A: P

Q: . Find all the solutions of 3x² + 2x + 1 8 (mod 63).

A: Given a quadratic congruence in the form:Ax2+Bx+C=0(mod n)multiply the above equation by…

Q: X = 17 (mod 21) X= - ) 8 Cmod 25

A:

Q: Solve the congruence x² +1 = 0 mod 13°.

A:

Q: Find all whole number solutions of the congruence equation. (2x + 1) ≡ 5 mod 4

A: Consider the given congruence equation. (2x + 1) ≡ 5 mod 4

Q: The linear congruence 9x = 19 (mod27) has 3 incongruent solutions. :Select one True False

A:

Q: Solve x2+3x+2 is congruent to 0 (mod 55)

A: 55=5×11 and gcd(5,11)=1, hence they are co-prime.The given system of equation x2+3x+2≡0mod 55 is…

Q: The quadratic congruence x^2+4x+1=0 mod 7 is solvable True False

A: Since not a particular question asked as per guidelines ,solution to only first question is given…

Q: the number of incongruent solution of the congruence 8x = 10(mod6) is:

A:

Q: Find the solutions of the congruence 15z + 19x = 5 (mod 11)

A: This question is related to Number Theory

Q: Solve by using the Chinese remainder theorem for the congruence X 2 (mod 7) X 4 (mod 5)

A: Given that This can be written as,

Q: The order of 5 mod 17 is

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: The order of 5 mod 17 is *

A: Since ϕ(17) = 16 Therefore order can be the divisor of 16 So the order can be 1,2,4,8 or 16

Q: Find all solutions of x = 10 (mod 133).

A: A congruence of the form, f(x)≡0(modm), where f(x)=anxn+an-1xn-1+...+a1x+a0, ai=0,1,2,...,n is…

Q: Find all solutions for 10x = 14 mod 1008

A:

Q: Find all solutions of the congruence x2 ≡ 16 (mod 105).

A:

Q: Solve the congruence 9x   21 (mod 33).

A:

Q: Find all solutions to the congruence13x−3 = 4 (mod 26). If none exists, explain why.Your…

A:

Q: Find all the whole number solutions of the congruence equation. 3x 8 ≡ mod 11 3x + 12 ≡ 7 mod 10

A:

Q: Find all solutions of quadratic congruence x^2+85x+2=0(mod401)

A: We follow the method of completing the squares of the equation x^2+85x+2. Note that 85 is odd so we…

Q: Find all whole number solutions of the congruence equation. 2x+3 ≡ 8 mod 12

A: Given that  2x+3 ≡ 8 mod 12  we have to find the value for 'x'

Q: Solve the linear congruence 5x = 3 (mod. 11). (Show all the work.)

A: The expression, a≡b (mod c)  implies that c divides a-b, that is when c divides a-b the remainder is…

Q: Number theory

A:

Q: Does

A:

Q: 3 congruent to 1 (mod5) 2 congruent to 3 (mod 7) 5 congruent to 11 (mod3)

A:

Q: Either solve the congruence, giving the solution as a least residue, or show that it has no…

A: We will check whether the given system of congruence has solution or not.

Q: Find all whole number solutions of the congruence equation. 3x+1≡ 4 mod 9

A:

Q: The number of mutually incongruent solution(s) of 307x = 83 (mod 360)

A: BY THE DEFINITION OF Modulus congruence Modulus congruence means that both numbers, 16 and 21 for…

Q: Which of the following is a solution of congruence equation, 4x –7 =3 (mod 10)?

A: We will find out the required solution.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.