Solve the linear congruence 11x = 2(mod 89) (a) 49 (b) 57 (c) 55 (d) 73 (e) None of these O e O d O a O b Novt page

Q: Solve the following congruences: (a) 3x  8 (mod 5) (b) 3x  8 (mod 12)

A:

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

Q: Find all solutions for x, up to congruence.  x ≡ 2^63 (mod 61).

A:

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

A: We have to solve the above quadratic congurence.

Q: 4. Write system/ 2, 3, 4. Sum the four equations to derive a simple equation for system. out in full…

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Q: Solve for x: 7x = 3 mod 11

A:

Q: Solve the linear congruence 13x = 2(mod27) (a) 23 (b) 16 (c) 12 (d) 6 (e) has no solution

A: See solution below

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: ions of the congruence 15x^2 + 19

A: Given:- 15x2+19x≡5 mod 55

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

A:

Q: x^4 + 2x +12 = 0( mod24) All that is not equivalent to polynomial congruence Find solutions.

A: We must identify values of that fulfill the congruence equation x^ 4 + 2x +12 ≡ 0 (mod 24) in order…

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

A:

Q: Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In…

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Q: If n = 12 m (me N), prove that "C₂ (2+√√3)² "Co- - + "C4 (2+√√3)4 "C6 (2+√3)6 ·+···=(−1)| 2√2 1+√3 n

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Q: Which of the following linear congruence has no solution? (a) 3x = 9 (mod21) (b) 6x = 4 (mod20) (c)…

A:

Q: Which of the following linear congruence has 1 incongruent solution? (a) 3x = 9 (mod21) (b) 14x = 12…

A: The solution is given as

Q: Which of the following linear congruence has 2 incongruent solutions? (a) 3x = 9 (mod21) (b) 14x =…

A: to solve linear congurence , ax≡b(mod m) .........(1) the first stem is to reduce the congurence  by…

Q: 3 S ₁² √ (²√₁² - ²√+²) ³ dt

A: Given

Q: Find all solutions to the following quadratic congruences by first making the leading coefficient 1…

A: Topic:- algebra

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: 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: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently…

A:

Q: 16y = 18 (mod 12) is solvable Select one: True False

A: Solvable means,there exist an integer for which equation satisfies,  not solvable means there is no…

Q: x² + 4x = 10(mod11) (mod11) X=

A: Given that x2+4x≡10 (mod 11)x2+4x+4≡10+4 (mod 11)x2+4x+4≡14 (mod 11)x2+4x)(x+2)2≡14+11 (mod…

Q: Solve the equation 5x = 13 (mod 18)

A: Given: To solve: the equation 5x4≡13mod 18Formula: a≡bmod cis equivalent to saying by Euclid's…

Q: x² + x = 13(mod17) X= * (mod17)

A:

Q: 8 5 4. Let A -7 - (a) Compute A¨¹. (b) Use your answer to part a) to solve Ax =

A: (a) To compute the inverse of a 2×2 matrix A= [ac​bd​], we can use the formula:…

Q: (a) 64x 56 (mod 52) (b) 14x = 35 (mod 56)

A:

Q: 1. Find all z € Z satisfying each of the following equations. (a) 3r = 2 (mod 7) (d) 9r = 3 (mod 5)…

A:

Q: Describe geometrically the effect of the transformation T Let A = -(1) Define a transformation T by…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: 10 Solve 3Y=2 (mod 7) 8 Salutions exist or show that

A: We have to solve given problem:

Q: If possible, solve the following linear congruences. (a) 42x = 1014 (mod 91) (b) 42x = 1015 (mod 91)

A: If possible, we have to solve the following linear congruences.

Q: Prove that 13n13 + 11n" is always divisible by 24.

A: Consider the given expression.

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

A: The congruence could be written as,

Q: 3. Solve the following congruences. † (a) 10x = 5 (mod 21) (b) 10x = 5 (mod 15) † (c) 10x = 4 (mod…

A:

Q: Q-2: a) Find the set of solutions of each of the linear congruence: i. x = 3 (mod 5). 5 (mod 9). ii.…

A: The solution is given below

Q: n(n-1) 2 this statement to justify the following. (n+³) = - :)-( (equation 1). 2 (n + 3)(n + 2) 2…

A:

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