Solve the following linear congruences: (f) 140x = 133 (mod 301). [Hint: gcd(140, 301) = 7.] %3D

Q: Use this theorem to solve the following congruences: x1 = 13 mod 35

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Q: ax +be

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

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

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

A: The solution is given below

Q: Solve each of the following congruences. (a) 6x + 3 = 4 mod 10 (b) 6x + 3 = 1 mod 10 (c) x² = 1 mod…

A: In congurent modulo n, ax≡bmod n has exactly 'd' solutions if 'd' divide 'b'where d=gcda,n otherwise…

Q: Question Number 05 a) Solve the following linear congruences: i) 89x = 2(mod 232) ii) 34x = 7(mod…

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Q: ions of the congruence 15x^2 + 19

A: Given:- 15x2+19x≡5 mod 55

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

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Q: *Find all solutions of each of the congruences: x2 + x +1 = 0(mod11) (a)

A: To find the solutions of the polynomial congruences: a) x2+x+1≡0 mod 11 Let f(x)=x2+x+1 x 0 1 2 3…

Q: Solve the linear congruence 8x = 407 (mod 1405)

A: We need to solve the linear congruence Let us first find the inverse of 8 mod 1405

Q: а). Solve the linear congruence of 231x = 147 mod 598 .

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Q: Solve the linear congruence 10x ≡ 15 (mod 45).

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Q: By doing direct enumeration, find the period of the following congruential generator: Xj+1=11X; mod…

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Q: Solve the following.r Equa tion non Homogeneous Differntial (o²-1) - 2X

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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) Find all solutions to the congruence 10r = 5 mod 15

A: Given,

Q: 1.Solve the following integer LP using branch and bound method: + 5 x2 MAX Z= subject to: + 10 < 20…

A: Answer

Q: .find the following equation in simplest arbi Saution Set of the form. X3 - 3x + 9 = 5r-10

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Q: Evaluate the followi 2. dt 3-5t

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Q: 3. Solve each of the following congruences. (a) 6x + 3 = 4 mod 10 (b) 6x + 3 = 1 mod 10 (c) x² = 1…

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Q: Indicate the method you would use to prove the two A's . If no method applies, enter "none". of

A: Given ,  Here ,  Two angles are equal and one side is equal .

Q: For which values of a does ax = 1 have a solution in Z5?

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Q: Solve the linear congruence x3 – 7x² – 48x + 18 = 0 ( mod 54).

A: Please note that, As you have asked Answer number 10 , so I answered only Number (10).

Q: Solve the following linear congruence: 17 x congruence 3 (mod 210)

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Q: 5) Solve the following quadratic congruence equations. d) 5x? + 12x + 11 = 0 mod 17

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Q: Find all the non-congruent solutions to  4x ≡ 6(mod 21)  express solutions using the stand…

A: Introduction: A linear congruence is generalized as ax≡bmod n. The greatest common divisor of a and…

Q: Explain why the following linear congruence has no solutions:   5x ≡ 16 (mod 45).

A: Explain why the following linear congruence has no solutions: 5x ≡ 16 (mod 45).

Q: 5. Solve the following quadratic congruence using the "completing the square" method: 9x² +66x +49 =…

A: 5. Given equation is 9x2+66x+49≡0(mod 79)   To Solve: Above quadratic congruence using the…

Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: By using the Chinese remainder theorem, solve the following system of congruences x ≡ 4 (mod 11)…

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Q: Using Fermat's little theorem, find the solutions of the following linear congruences. a) 7x ≡ 12…

A: Fermat's theorem :  Let p be prime number such that gcd(a,p)=1 then ap-1≡1(mod p) Using Fermat's…

Q: ind all solutions of the linear congruence: 9x = 5 mod (14)

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Q: 2) Solve the following linear congruences: 14x = 91 (mod 189) 24x = 56 (mod 88)

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Q: Solve the congruence x² = 9 (mod 600).

A: Given congruence is x2≡9 mod 600

Q: Solve the following congruence equations. 1. x=2 mod 3 2. 9x = 21 mod 30 3. 18x = 30 mod 42

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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: 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: Solve the following linear congruence: 6x = 15 (mod 21).

A: We Know that the congruence ax = b (mod n) has a solution if and only if d = (a, n) divides b. If…

Q: 4. Solve the congruence 34x = 77 (mod 89).

A:

Q: 19, Obtain the eight incongruent solutions of the linear congruence 3x + 4y = 5 (moi 84 ELEMENTARY…

A: To obtain the eight incongruent solutions of the linear congruence.

Q: bability is

A: Given Mean=6 minutes

Q: 3.2.6 Find all solutions x to the congruence equation 12x = 1 (mod 17)

A: Given, 12x = 1 (mod 17) So, 7•12x = 7•1 (mod 17) So, 84x = 7 (mod 17)

Q: . Find a solution x € Z, 0 <x <n, for the congruence 57x + 7 = 78 (mod 53).

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

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Q: Solve the following congruences. a) 5x = 1 (mod 13) b) 12x = 40 (mod 88)

A: Given: To explain the given statement as follows, We need to solve the following congruences  5(x) =…

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: Solve the congruences. a) 5x =7 (mod 8) b) 11x 2 (mod 6)

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

A: We will find out the required solution.

Q: solve the following congruence equation:3x+58 ≡1(mod 12)

A: If ab≡bc(mod nb) then a≡c(mod n) And if ab≡bc(mod n) and if (b,n)=1 then a≡c(mod n)