96. Solve the congruence 13 – 29x2 + 35x + 38 = 0 (mod 195).

Q: Solve the quadratic congruence, 6x²-7x+2 ≡ 0 mod 31.

A: We have to solve the above quadratic congurence.

Q: Solve a congruence equation and give all the solutions: 3(x – 2) + 4x = 5x +8 (mod 31)

A:

Q: Find all solutions of the congruence 8x ≡ 4 (mod 12)

A: Step 1: Divide by the greatest common divisor (GCD)The GCD of 8 and 12 is 4. We can divide both…

Q: 5x = 8 (mod 2) 7x = 3 (mod 5)

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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

A:

Q: Solve the following system 3x + 5y − 7z ≡ 8 (mod 83) 8x − 9y + 13z ≡ 13 (mod 83) 7x + 4y + 5z ≡ 15…

A: Let AX=B where, A=35-78-913745, X=xyz, B=81315 Therefore, we have: AA-1·X=A-1B           IX=A-1B…

Q: b=3(mod19)

A:

Q: Find the smallest positive integer x that solves the congruence: 7x≡5 (mod52)

A: 7x≡5 (mod52)---(1)

Q: 4. Solve the following quadratic congruences: 5x² + 6x + 1 = 0 (mod 23)

A:

Q: 6 and an nan-1 + 2 then find If a1 the value of az.

A:

Q: Solve the following system 3x + 7y ≡ 4 (mod 11) 8x + 6y ≡ 1 (mod 11) Hint: Use Cayley’s table to…

A: We are given the equations 3x + 7y ≡ 4 (mod 11) and 8x + 6y ≡ 1 (mod 11).  Our aim is to find the…

Q: Solve 371044 = ... (mod59)

A:

Q: Solve the following quadratic congruences: (a) 3x² + 9x + 7 = 0 (mod 13) (b) 5x² + 6x + 1 = 0 (mod…

A: According to Q&A guidelines, I can answer only one question. So I answered (a).

Q: Solve the congruence3x−7 = 2 (mod 16). Your solution should be positive and reduced modulo16.

A:

Q: 5. Solve the congruence 11x = 15 (mod 20). (Write all solutions)

A: we have to solve                                      11x≡15(mod 20) greatest common factor of 11…

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

A: P

Q: Hellcopter Trip Whale Watching Adventure Volcano Tour Hours Cost ($) Hours Cost ($) Hours Cost ($)…

A: We can use linear equations to solve these types of problems. There are different methods available…

Q: 1. Find a complete set of mutually incongruent solutions of each of the following. (a) 7x = 5 (mod…

A: given,  7x≡5mod119x≡12mod15

Q: Find the solution of the following equations: 6x = 1(mod 33), 7x 1(mod 9)

A: If the given congruence equation is:.It is known that if a and m are relatively prime, then the…

Q: the number of incongruent solution of the congruence 8x = 10(mod6) is: 1. 4 2) 8)

A:

Q: Solve the congruence: 6x ≡ 4 (mod10)

A: The congruence could be written as,

Q: Demonstrate that the equation x10 + y10 - z10 = 5 has no integer solution. (work with modulo 11)

A:

Q: . (a) How many quadratic residues are in the residue set Z19? (b) Determine if 4 and 9 are quadratic…

A: Introduction: Quadratic residue is related to congruent modulo theory. Since, it deals with…

Q: 5x² + 3x = 3(mod17) X = (mod17)

A: Given that 5x2+3x≡3 (mod 17)x(5x+3)≡3 (mod 17)x≡3 (mod 17)  or   (5x+3)≡3 (mod 17)x≡3 (mod 17)  or…

Q: Solve 66x = 111(mod 237).

A: mod of any quantity is positive  i.e ±a  =  a

Q: Solve xS+x*+l =o (mod 34)

A: Given :                        x5 + x4 + 1 ≡ 0 (mod 34)             First, we solve it mod 3.…

Q: Solve the congruences: 52x + 4 = 8(mod 22) 17x = 19(mod 100) 3x = 9(mod 12)

A:

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

A:

Q: Solve the linear congruence 7а + 3у %3D 10 (тod16).

A: Consider the linear congruence 7x + 3y ≡ 10 mod 16.Since gcd (7, 3) = 1 we know at least one…

Q: Why does the linear congruence 25x ≡ 30 (mod 75) have no solutions?

A: To show that the linear congruence 25x≡30mod 75 have no solutions.

Q: where every entry on the diagonal of the matrix in the last line is 11, and every entry below the…

A: We have to find the values of a,b,c, and d.

Q: Does x² + 5x = 12 (mod 31) have a solution? (Hint: complete the square)

A:

Q: x = 13 (mod 39) have a solution. Select one: O True 2.

A: True

Q: tind all ins ongrnent solution the cangruence i¥ exist for 36X= 96mod 156

A:

Q: Find (173 mod 29)4 mod 19.

A: Find (173 mod 29)4 mod 19.

Q: Find the smallest positive integer xx that solves the congruence: 11x≡5(mod57)

A:

Q: True or False. Briefly explain why.  The linear congruence 35x  ≡  5 mod 150 has 5 incongruent…

A: Given statement is,  The linear congruence 35x  ≡  5 mod 150 has 5 incongruent solutions modulo 150.…

Q: Solve the Diophantine equation 7x + 5y = 43 by  rst solving the congruence 7x = 43 (mod 5), which is…

A:

Q: Solve the system of congruence x ≡ 3 (mod 6) and x ≡ 4 (mod 7) using the method of back…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.