x3-3x2+27 is congruent to 0 (mod 225)

Q: solve 6メミ q modis

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Q: The equation 20x=30 (mod 70) has: 10 non-congruent solutions modulo 70 None of these no solution…

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Q: x^2 ≡ 1 (mod 105)

A: Given: x2≡1(mod 105) To Solve: The given congruence  x2≡1(mod 105)

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

A: The solution is given below

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

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

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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: 1. Solve each of the folling. а. с. d. 115x = 2 (mod 288) 2. Explain why 12x = 1 (mod 75) has no…

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Q: If m = 2* is a power of 2, explain how you could use repeated squaring to compute am (mod n) for all…

A: a) We have m = 2k. First we illustrate the method of repeated squaring to compute am (mod n). Then…

Q: How do I find f prime of 3 if f(x)=13x/4+x2

A: Given,           fx=13x4+x2

Q: Solve 57x ≡ -3 (mod 50) for x

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Q: Determine all possible digits to place in the square that make the statement true. If none exists,…

A: Given that 40234156. We have to fill in the square for which whole number is divided by 9.…

Q: 3x = 11 (mod 20)

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Q: Solve 2x-3x-65 0 mod 125

A: In the given question we have to find the solution of the congurent equation s.t…

Q: Solve 65x ≡ 2(mod243) by inverse method

A: Given, 65x≡2mod 243 Here gcd65,243=1 Now find the inverse of 65 mod 243.…

Q: Solve for x : 5x ≡ 7 (mod 6).

A: Here remainder is 7 and modulus is 6 we can write it as  5x-7 =6n          Where  is an positive…

Q: The equation 21x=49 (mod 70) has: 6 non-congruent solutions modulo 70 7 non-congruent solutions…

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Q: Solve x21 ≡ 6 mod 7

A: If p is a prime number then xp-1≡1(mod p) for all x∈ℤ~pk  where pk denotes multiples of p . Suppose…

Q: solve for x^2 = 1 mod 8 and x^2 = 1 mod 10

A: Solution...

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: Solve the system of congruence x ≡ 3(mod6) and x ≡ 4(mod7) using the method of back substitution.

A: System of congruence equations

Q: solve 2x 1(mod13)

A: We are given that 2x≡1(mod 13) ⇒2x-1 is divisible by 13. Consider , 2x-1=13m , where m∈Z ⇒x=13m+12,…

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: Solve 10x = 13 (mod 53)

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

A: Given congruence is x2≡9 mod 600

Q: Find all solutions of x = 10 (mod 133).

A: A congruence of the form, f(x)≡0(modm), where f(x)=anxn+an-1xn-1+...+a1x+a0, ai=0,1,2,...,n is…

Q: Give all non-negative solutions for 10r =-17 mod 4.

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

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Q: solve 63164 . x = 2 mod 365

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Q: Solve the congruence 9x   21 (mod 33).

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Q: olve the congruence8x= 16 (mod 424).  If none exists, explain why.  If there are one or…

A: The given equation is: 8x≡16mod 424

Q: 7x =4 (mod 12).

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Q: Solve 37x 10 mod 50O

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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 529 = x (mod 11)

A: The given modulo equation is 529=xmod11. The modulo relation can be solved as: m≡kmod n if m-k is…

Q: Inverse of 19 modulo 141 is

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

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Q: Number of solutions for the congruence equation x^2 + 2x + 1 = 0(mod 52) is

A: The given congruence equation is x2+2x+1 = 0(mod 52)

Q: Compute 59^11 mod 13 = You should know how to do this without a calculator by using the modulo…

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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 55x ≡ 2(mod243) by inverse method.

A: Given 55x≡2mod 243. Solve this congruence using the inevrse method.

Q: How do I find f prime of 13x/4+x2

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Q: Find 2025-3 (mod 212). (Enter the least non-negative integer.)

A: To Find: 2025-3(mod 212) and enter the least non-negative integer.

Q: 3 congruent to 1 (mod5) 2 congruent to 3 (mod 7) 5 congruent to 11 (mod3)

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Q: How do I use the Chinese Remainder Thm. to solve this system of congruences?? x ≡ 2 (mod 3) x ≡ 6…

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

A: in first process firstly we need to find the inverse to solve this type of question

Q: Solve 3x≡2, (mod 7) or show that no solution exists.

A: We have to solve given problem:

Q: What are the FOUR values of x that will satisfy: x=2 mod 4 & x=3 mod 6 please show your…

A: Given: x≡2 mod 4  & x≡3 mod 6   x≡a(mod m1)x≡b(mod m2) has a solution if and only if…

Q: How would you find -88 mod 13?

A:

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.