Solve for x using The Division Algorithim : 937 =x (mod 4)

Q: Number theory

A: Here, x6+1 is reducible in the field mod 2 (when x = 1). So,  the reduction of  x6+1 will be either…

Q: 58° of 2.

A: Given: A figure with one of the angles as 58°.

Q: Solve the following quadratic equation via the two different methods namely both classical and…

A: The equation a≡b mod n means that a-b is divisible by n. That is, the remainder when a-b is divided…

Q: Solve for x: 32 + 104 = x(mod5) O 1 O 4 3.

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Q: Express 10.603603603. . . as a rational number, in the form where p and q have no common factors. p…

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Q: Solve the congruency by finding the inverse: 7x = 9(mod 43)

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Q: Find x such that 15777 x (mod 11). 0sx<11. You must show all the detailed steps.

A: (3) We have to find the value of x such that 15777≡xmod11, 0≤x≤11. Since, 15777=14×11+377 Hence,…

Q: Find a rational number within 0.001 of pi=3.1315926…

A: Let the rational number be r so r-π≤0.0012. Or π-0.0012≤r≤π+0.0012.  Putting π=3.1315926 get the…

Q: Find all values of x (using congruent notation) for 35x ≅ 3 (mod 89)

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Q: For this question, explain the reason if no solution exists. Give a complete list of solutions if…

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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: Find the four solutions of x* = 1 (mod 13).

A: Since you have asked multiple questions we will solve the first question for you .To get any…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in.…

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Q: Where would 129 be on a mod 13 clock (which goes from 0 to 12)? What is the remainder…

A: Where  would  129  be  on  a  mod  13  clock  (which  goes  from 0 to 12)? What is the remainder…

Q: · Find (with proof) the residue of 320222022 when dividing it by 31.

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Q: use proof by contradiction to show that the number is irrational. 3

A: We have to prove 3 is irrational. Let us assume 3 is rational. So, it can be written in the form of…

Q: Solve 57x ≡ -3 (mod 50) for x

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Q: Find x such that 1577 =x (mod11), 0sx<11. You must show all the detailed steps

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Q: 5 find the quotient i15-as a" by long division meth od 1-a

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Q: 5. Use the method of successive squaring to compute 3875 (mod 103) 1

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Q: how do i use Euler's thm to find the value? 3242 mod 385

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Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

Q: Find the remainder of 123456789 is divided by 11. Show complete solutions.

A: We will find the remainder.

Q: Solve for x: 32 +104 = x(mod5) O 3 O 2 4. 1,

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Q: 5) Using Fermat's little theorem, determine 21998 mod 7. In other words, what is the remainder when…

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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: Find all incongruent solutions - if exist - for the congruence: 36x = 96 mod 156

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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: Find the indicated real nth root(s) of a. n = 4, a = -81 O +3 -/3

A: This question is about nth real roots of numbers

Q: Which is larger  2^100 or F100 with F representing a Fibonacci number? Prove which is larger.

A: Increment in each term in Fibonacci series = FnFn-1  Increment in each term in 2n series = 2

Q: Find the integer a such that a ≡ 71( mod 47) and -46  ≤ a ≤ 0  I need a better understanding of how…

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Q: solve 63164 . x = 2 mod 365

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Q: Discrate math 4n lo by in duction Prove that

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Q: 6. Find the root using Regula-Falsi Method a) x* -x- 10 = 0 Ans. x = -1.697 and 1.855

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: Derive the recursive formula using Newton-Raphson method for finding the reciprocal of a positive…

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Q: Classify the following number: V-100 Irrational Rational O Imaginary

A: NOTE: Refresh your page if you can't see any equations. . apply the radical rule  if n is odd

Q: 9. a. Solve xQ + Q – 4 = 3Q + 5 (mod 2Q), where Q = 2 b. Find the quotient and remainder when Q is…

A: 9. a) Given congruence is xQ+Q-4≡3Q+5mod 2Q where Q=2 Using the value Q=2 in the given congruence…

Q: solve by means of a derivation, the congrucnce equation; 10x= 4 (mod 2a) Express ansurer in form X=…

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Q: Use the {\bf Cayley Hamilton Theorem} to come up with an expression for A" in terms of n when 1 A =

A: As you have asked more than one question, we shall answer first Que only. For others kindly post…

Q: How many multiplicity of - 1 are there in the roots of x +3x2 + 3x+1 0? O 1 O 2 3 O 4

A: Given equation  x3+3x2+3x+1=0

Q: Does ?2 ≡ 23 (mod 79) have any solutions. Justify your answer using the Legendre symbol.

A: Note that the congruence X^2= 23 (mod 79) will have solution if and only if 23 is a quadratic…

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: Use the repeated squaring method to calculate the following: 16^10 (mod 230)

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Q: (a) Find an integer r E {0,..., 196} which solves the equation 167 = 7 (mod 197).

A: Given equation is x157≡7mod197. We have to find that an integer x∈0,....,196 which solves the…

Q: The number of mutually incongruent solution(s) of 307x = 83 (mod 360)

A: BY THE DEFINITION OF Modulus congruence Modulus congruence means that both numbers, 16 and 21 for…

Q: find the rational number represented by the repeating decimal. 0.451141414

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Q: let us assume that /3 is a rational number .show that V3 = where a,b are co – primes b

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Q: Find (with proof) the residue of 320222022 when dividing it by 31.

A: Given number is 320222022 Let the remainder(residue) be x when 320222022 divide by 31 x=32022202231…

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.