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

Q: Find all solutions to 17r = 14 (mod 21).

A:

Q: quadratic equation r2 + 4x-3 0 have a solution modulo 41"

A:

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

A: We have to solve the above quadratic congurence.

Q: Q16

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

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Q: 31 = 10 mod 3. :Select one True False

A:

Q: solve the congruence 2²-7x+6=0(mod3³.7³)

A: Given congruence: Objective: Solve the congruence equation and find the solutions for  modulo .

Q: Solve the linear congruence 2370x ≡ 69 (mod 2517) or say why no solutions exist

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Q: Find all solutions of the system. 3x = 1 (mod 5) 2x = 3 (mod 7) 5x=11 (mod 3)

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Q: he linear congruence 132x ≡ 76 (mod 100) has a solution. Select one: True False

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

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Q: 12 = -3 (mod 5) Select one: True False

A:

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: Does x2 +3x+7=0 mod 31 have solutions? IF

A: This follows in the same way as we study quadratic equations. Here we use facts about quadratic…

Q: Find the solutions of a3 – 24.x2 + 54 = 0( mod 25).

A: want to find solution of x3-24x2+54≡0(mod 25)note that1 a≡b(mod m) f and only if m|a-b(i.e a-b=mk…

Q: Find the smallest positive integer x that solves the congruence: 16x = 5 (mod 83 ). Show all steps…

A: We are given that        16x ≡ 5 (mod 83)   Multiplying both sides by 5, we get       5×16x ≡ 5×5…

Q: 6. Solve the equation x + 3x + 17 = 0 (mod 21)

A: The Chinese reminder theorem:                    Let p and q are coprime. Then the system equations…

Q: Exercise 34 Solve the following equations: 1. 5x +3 = 7 (mod 11). 2. 4x + 5 = 11 (mod 13). 3. 9x – 4…

A: As per our guidelines we are supposed to answer?️ only 3 subpart from multiple questions. Kindly…

Q: Solve the congruence: 341x + 19 = 291 (mod 9).

A:

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

A:

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: Exercise 34 Solve the following equations: 1. 5x + 3 = 7 (mod 11). 2. 4x + 5 = 11 (mod 13). 3. 9x –…

A: Here we will find out the required value

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

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Q: Solve the quadratic congruence x² = 35 (mod 817).

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Q: By using the CRT, solve the system 4x ≡ 2 (mod 6 ), 3x ≡ 5 (mod 7 ), 2x ≡ 4 (mod 11 ).

A: Given, 4x≡2 mod 63x≡5 mod 72x≡4 mod 11 It can be written as,  x≡12 mod 6x≡53 mod 7x≡42 mod 11 Here,…

Q: Solve x643 = 27 (mod 800). Solve 343 = 7 (mod 900).

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

A:

Q: Solve the system 2.x = 3(mod 5) 3r 2(mod 7) I = 2(mod 6)

A: As per our guidelines we supposed to solve the very first question when multiple questions are…

Q: Solve 37x 10 mod 50O

A:

Q: Please try to explain how did you solve it Q: Solve the following congruence 5x+8 ≡ 11 (mod 22).…

A: We are given the congruence relation          5x + 8 ≡ 11 (mod 22)        => 5x ≡ 11 - 8 (mod 22)…

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: he solutions of the equation 7? ≡ 28 (mod 119).

A: We have to find out all the solutions of the equation 7?≡28(mod 119) ax≡b(mod n) has solution iff…

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: Given that 3599 = 59-61, determine whether x² = 581 (mod 3599) has solutions.

A:

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.

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.