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

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

A:

Q: 13. If a is an algebraic integer satisfying a + a + 1 = 0 and ß is an algebraic integer satisfying…

A: Given: α is an algebraic integer satisfying α3+α+1=0 and ß is an algebraic integer satisfying…

Q: .3x = 4(mod5).

A: From the given expression of the modulus, we will have to find out the value of X. This is…

Q: Solve 271044 = ... (mod59)

A:

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

A:

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

A:

Q: Find all solutions of each congruence and explain why these are all the solutions. (It is possible…

A:

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

A:

Q: Find all integer solutions to the equation 23. + 6x2 + x + 6 =1 mod 74. Explain your method and cite…

A: en x3+6x2+x+6 = 1 mod 71

Q: Solve 371044 = ... (mod59)

A:

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 all solutions for x, up to congruence. (b) x ≡ 11 mod 142 and x ≡ 25 mod 86.

A: Given: (b) x≡11 mod 142 and x≡25 mod 86 To find: All solutions for x, up to convergence.

Q: SorvE THモ CONGROEモNしE 626 X Rエ mod5

A: As 5 is an odd number, by fermat's theorem, we have             x5-1 = 1 (mod 5)           => x4…

Q: If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

A:

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

A:

Q: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: (a) Find all solutions r to the congruence 341x = 16 mod 912

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

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

A:

Q: Find an integer A so that: A79 = 7 (mod 277) Please solve step by step thanks!

A: Given an equation. Let's solve for A.

Q: Solve the congruence x² = 79 mod91.

A: The given problem is to solve the given quadratic congruence equation. Given congruence x2=79(mod…

Q: 6. Find all incongruent solutions to each congruence. Show your steps. (a) 135x = 108 (mod 612) (b)…

A:

Q: Solve each equation for x. (If there is no solution, enter NO SOLUTION.) (a)     x + 8 ≡ 1, (mod 9)…

A: We solve each equation for x.

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

A:

Q: y²=x³-5x+3 (mod5). solve for all x and y, when x is at least 0, and y is at most 4

A: Using congruence and modular arithmetic we solve the given equation. We substitute the value of x…

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: Express in the form a +b√c. 8 3+√5 +√45

A:

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

A:

Q: -) Find the solutions, if any, of each congruence. 21x 10 (mod 35) 9x = 15 (mod 21).

A: We know that, ax≡b mod n has solution if and only if gcd(a,n) divides b.

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

A: Given congruence is x2≡9 mod 600

Q: If possible, find a complete set of mutually incongruent solutions of each of the following…

A: The given congruences, a) 9x≡12mod 15. b) 81x≡57mod 117. We have to find the solution to the…

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 for x. :1 х — 7 Enter an exact answer (not a decimal). x + 8 -

A: To solve for x8x-7-7x+8=1

Q: Solve 37x 10 mod 50O

A:

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…

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.