Find a general integer solution of the equation 198x + 288y + 512z = gcd(198,288,512)

Q: Find the convolutizn betwen hCk) = [ and X(<) - [ -17 2. %3D

A: The given question can be solved as shown below.

Q: (c) Express 624 as the sum of the least possible number of squares of integers.

A: The given question is solved below.

Q: Find mZBCA. B (5х + 12)° (9x + 1) (10x - 37)

A: It is known that the sum of angles on a straight line is 180°. Then,…

Q: , 回,那 18x 3x? 2. 12x 10a'b 3. 27 -15ab igm 6. = x6-4

A:

Q: (b) Express 346 as the sum of the least possible number of squares of integers.

A: Question: Express 346 as the sum of the least possible number of squares of integers.

Q: solve for z 9/z=11/7

A: Given, 9z = 117   We have to solve for z

Q: Prove that there exists at least one solution to the equation 4x+ 3x +1 = 4x2.

A:

Q: Suppose X ÷ ( – 2) is 7x? – 2x – 6 with remainder 5. - - Then X %3D

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Q: Find two positive integers such that the sum of the first number and five times the second number is…

A: Solution

Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

A: ANSWER :

Q: Find MZCBD if MZDBA= 4x + 8, mZCBD = 7x-3, and mLABC = 60° %3D

A: m∠DBA=4x+8m∠CBD=7x-3m∠ABC=60°

Q: 2. Find two consecutive odd integers whose product is 323.

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: Find all the zeros of 21x^2 - 100 = -x^4

A: Solution:-  Find all the zeros of  21x2-100=-x4

Q: Find the least common multiple of the denominators of 1/ (x2 - 1)  and 3/ (x2 + 4x + 3)

A: Given: 1x2-1 and 3x2+4x+3

Q: Prove that there are no integer solutions to the equation x² = 4y + 3

A: To prove that there are no integer solutions to the equation…

Q: What is the largest number k for which 2x+3y=20 and 3x+4y=k have the same number if positive integer…

A: Given that, there are two equations following, 2x + 3y = 20…

Q: Express 18 + 16x – 2x² in the form a + b(x + c)², where a,b and c are integers.

A: We have to obtain the given from from the given equation to find the value of a,b and c as integers.

Q: Find all integer solutions of 3x + 5y + 12z = 20

A: Solve

Q: Find the term of (x² +x²)' that has x88 in it.

A:

Q: The product two odd integers is even, whereas the product of an odd integer and an even integer is…

A: The product of two odd integers is odd. The product of an odd integer and an even integer is even.

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0

A: Given, The quadratic equation  5x2 +6x-2 = 0   We have to use the discriminant to find number and…

Q: 2. Find the MZRSA. AR 2x + 15 is 3x -15 M

A:

Q: If x is an integer, what is the greatest value of x which satisfies 5 &lt; 2x + 2 &lt; 9?

A: First of all, consider the definition of an integer. An integer is defined as the whole…

Q: Prove that the expression 2y2 - 128 is equal to 2(x2+2) (x² – 2) (x³ + 4x* + 16).

A:

Q: What is the smallest positive integer value of x where y=2x exceeds y=5x+7? What is the…

A:

Q: 1. Find two consecutive even integers whose product is 168.

A: Find two consecutive even integers whose products is 168.     Here i attached the solution of this…

Q: Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.) 16 − 49y2

A:

Q: Find the sum of the polynomials: 8x3 - 2x2 + 6x - 2 and 3x4 - 2x3 + x2 + x

A: To find the sum of polynomials: 8x3-2x2+6x-2 and 3x4-2x3+x2+x Solution: (8x3-2x2+6x-2 )+…

Q: Determine the number of integer solutions to the equation below: X1 + x2 + x3 + X4 + x5 = V subject…

A:

Q: Use prime factorizatons to find the gcf of each set of expressions 16x5 y2 z4, 64x3 yz, 36x5 y7

A: we have to find

Q: What is the coefficient of x12 in (x+2)14?

A: Given expression is,

Q: Which integers are quadratic residues of 11?

A:

Q: If A = A. 3300 B.-900 OC. 900 3 find the (1,2)-entry of A300

A:

Q: Determine all of the factors of the expression 3x + 7x2-18x + 8 if one of the factors is x-1.

A: Given expression :

Q: Solve for n; 9n-1 = (; 4n-1 %3D 3.

A: Use the following properties of the exponential function to solve this equation for n.

Q: of Find [lo9.(x²+1)|

A: Here, the objective is to evaluate the given differentiation.

Q: Find all integer solutions to x2-12y2=xy+8

A: This is a problem of Number Theory.

Q: What is the smallest positive integer value of x where y=3x exceeds y=3x+3? What is the…

A: The required positive integer is  x = 3

Q: Find all the solutions of z° . .. + 8° = 0 + 8z° + 8²z7 +

A: (z9+8z8+82z7+83z6+8 4z 5+8 5z 4+8 6z 3+8 7z2 +88 z1 +89)=0multiply by (z-8) on both…

Q: Match the correct factorised expressions. 9xy - 3y + 3z 16x(1-5yz) 55x2 - 11 7x2(9x -3 + y) 63x3 -…

A: Take the common terms from each of the expressions.

Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

A:

Q: 2. Add one term to the polynomial expression 14x19 – 9x²5 + 11x* + 5x² +3 to make it into a 22nd…

A:

Q: X43 「3x3ー10x-29X484

A: We are asked to divide the polynomial

Q: Find the number of integer solutions of X +x, +x, = 10 subject to the conditions given. a. 저20,%…

A: Integer solution

Q: 1) Subtract the sum of x³ + 17x? + 36x – 15 and 3x³ – 13x + 33 From the sum of 79x – 2x3 – 8x² + 8…

A: Evaluate the sum of the first set of polynomials as follows.…

Q: Prove that the expression 2y2 - 128 is equal to 2(x2 + 2) (x² – 2) (x³ + 4x* + 16)

A: a3-b3=(a-b)(a2+ab+b2)a2-b2=(a+b)(a-b)

Q: What is the product of 5a3 and 2a2- 7a- 6?

A: