Please use number theory to solve the problem, thank you. (a) Show that if x is rational then x is rational. (b) Show that /2 + V3 is irrational. 11.

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A: Given : To determine the two positive even consecutive integers such that the square of the smaller…

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A: i used rational zeros theorem for proving it has no rational root

Q: 7+8/3n – 1|> - il2-1

A:

Q: 11) Solve using an interval table 16x2+8x+1 x3-8x2+4x-32

A:

Q: 13. Solve for x: 5 + 4x - 2 23

A: Simplify the expression to make a single term of both sides of the equation. 4x-2=23-54x-2=18

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A:

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Q: 6 4 17

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A: The given equation is

Q: solve graphically by the intersection method. Give the solution in interval notation.

A: 7x+3 < 2x-7 5x < -10 x < -2 x ∈ (-∞,-2)   3x+4 ≤ 6 x-5 9 ≤ 3x 3 ≤ x x ∈ [3,∞)

Q: Solve the rational in euali ty 81 What is Solution Set

A: Solution is given below

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A: The objective is to solve the rational equation.

Q: What is the domain of: g(t) = square root of 1-4^t   Written in interval notation   * I got infinite…

A: The given function is

Q: How/Find the solution for the equaton

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Determine a rational number that is located between -2 ¼ and -2.8. Justify that the point is…

A: The given two rational numbers are  -214 and  - 2.8

Q: How do I prove that the difference between two rational numbers is again rational.

A:

Q: 17x=1mod2   solve for x

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Q: List all possible values that could be roots of the polynomlal 4x*- 23x – 41x2 + 59x- 18 according…

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Q: Te X²-3x-40=0 1.

A: We just factories in order to solve this problem.

Q: 8. y = √√9-x over [1,9]

A:

Q: -5: Solve by using method of separation of variables =0 ду ax

A:

Q: Solve 5(x – 1) – 6 = 6(x – 5) for x algebraically. If your answer is a fraction, write it in…

A:

Q: solve using first principle f(x)=2x2-x

A: The first principle of derivative is : We will plug the given function in it to find f'(x).

Q: se the method of your choice to find all real solutions to the equation.  x=7+1/x

A:

Q: - (b) Without extracting the roots, determine which one is greater, VII-5 or, 19 – /13.

A: Solution

Q: Show that V3 +2/6 is an irrational number.

A: A rational number can be represented as pq, where p, q are integers and q≠0. If a number can not be…

Q: can you help me solve for X: root (X) - root (X - 12) = 2

A: The give equation

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A:

Q: How do i solve for x

A: Given:

Q: Establish that square root 2 is a rational number

A:

Q: Solve 4 x – 12 x2 > 0 and graph the solution on the number line. 1. None of these 2.0 3 4. x > 3 or…

A: Solve the inequality

Q: How do I solve this:  x+1----   <  1x-6

A: Solve the given ineqality and compute the solution set of  as follows.

Q: Solve for the exact value of x. 4 In(7x - 4) – 2 = 26 Answer: Submit Answe

A: we have to find the exact value of x

Q: how do i solve for the solutions in the problem with the interval of (0,PI) 2csc^2xcotx=0

A: We set each factor equal to 0.

Q: This question must be solved by "the quadratic formula". Be sure to show your work accordingly. 21 +…

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Q: Is the sum of two rational numbers always a rationalnumber?

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Q: A real number is called quadratic when it is a root of a degree two polynomial with integer…

A: Solution: At first we go through the below theorem. Theorem:    A countable union of countable sets…

Q: -33/(x2 - 3x) = -3/(x - 3) + 6/x

A:

Q: The way to solve -7 < 3x – 4 < 5 is to isolate x in the

A: -7&lt;3x-4≤5Now add 4 on the three sides.-7+4&lt;3x-4+4≤5+4Now, divide the three sides by 3.

Q: what is Γ(1/2) ? show solution. prove that it is equal to -1/2!

A:

Q: Show that the real number V2- 2 is algebraic.

A:

Q: What is rhe third root of unity ?

A: This question can be solved using the concept of complex numbers.

Q: The set of real numbers for which a rational expression is defined is the__________ of the…

A: Given:Rational expression

Q: If an irrational number is decreased by 2V18 result is V2. What is the number? V50, the

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Q: X(2) - (2-as)(2-1)2 2.

A:

Q: Use algebraic methods to solve

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A:

Q: (K+3)° 3.

A: According to algebraic identities: (a + b)3 = a3 + b3 + 3a2b + 3ab2

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A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.