Following the proof that sqrt(5) is irrational, show that if 2a =3, then a is irrational

Q: Hello, can step by step be shown from step 2 of: 8+or-sqrt64-4(1)(-172)/2 ? I am concerned on how it…

A: We need to solve the given quadratic equation and show the complete steps. x2-8x-172=0

Q: 2) Simplify the Radical V45 A) B) V3. V5

A: Given  A) 45 B) 3.5

Q: Which is an example of two differnt fuctions that have the same domain and the same range, but have…

A: 1)Let f(x)=x+1, g(x)= square root of xSketch the graph of the function as shown below

Q: Question 6. The goal of this exercise is to make sure you understand √x² = ]x] and in general √x²…

A: a) The fact that for any real number a such that a>= 0, there is a unique number sqrt(a)>= 0…

Q: show IBat = (at 5) (1+i) (a+bi where 9,6 Are reals Hense tEs Find the value 2 (9-31) (a43i) 15-51)

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Q: Which one of the following is a root of √2x1-x+=0? O x = 5 x = 1 O x = 7 x = 3

A: We have to find the roots

Q: Let p = 7, q = sqrt(14), r = 3/5 Which of the following expressions is irrational

A: Answer is- q=√14 are the irrational no. We can also   write as √2*7 so given no. is irrational no. p…

Q: b) 0.6' Rational Irrational

A: Therefore, it represents the rational number. The answer is: rational

Q: a. A square root of - i 뚜-뚜o - ?수 12 0-1 O-i 쭈+쭈-0 쭈+수이 b. A square root of - 1 O +금 +쓴이 01 0-1 O-i

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Q: Veridy that the approximate root of xa2 is: 1+Xn- Xn 2

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Q: If x ER is irrational and r E Q, show that r + x ER is irrational.

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Q: Find the fifth roots for -16-16/3i

A: Consider the given complex number. z=-16-163i=x+iy x=-16  and y=-163 Convert it into polar form.…

Q: please solve in great detail for me

A: Step 1:a(-m)= 1/am   Step 2: Step 3: Step 4:

Q: Prove that, if a is an irrational number, then Va is also an irrational number.

A: In the given problem we have to prove that if x is an irrational number, then x3 is also an…

Q: (x° – xº) (1+x³)5 Evaluate dr; Use B(m, n) = dr (1+x)m+n

A: Using the given result and

Q: 4 4 41-4

A:

Q: Evaluate L, sinh 3t (3

A: L13sinh3tUse the constant multiplication property of Laplace Transform:For function ft and constant…

Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Solve for x x2 -3x-10 x-4 6x x-1 6x 6.

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: Prove by contrapositive. if x and y are integers such that x > 1, and x divides y, then x / (y +1)

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Q: 7) The perimeter of a square is 16x²-12y Find an expression for the length of each side. ( [atnioq…

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Q: Find modulus and argument of: a. (5-7i)(8+5i) b.  (√3 +i)/(√3 -i)

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Q: Derive then prove the Explicit formula for triangular numbers Solution:

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Q: The only solution to arcsin is - π 4 True O False (- √√2 2

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Q: 3) Find all the roots of the following equations z = √1-i 14 b) c) Z - i z = z = 964

A: a)

Q: 2√10 9 13

A:

Q: Find the last (right) two digits of 77". use Euler's theorem to solve it

A: we have to find the last two digits of 777

Q: Without using a calculator, show that 2023 (1+i√3)2 = 2º (1+qi√3). where p and q are integers to be…

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Q: Let h(x) = 3x + 12 and k(x) = sqrt(x). What is the domain of k o h? A) xs4 B) x> -4 c) x2 -4 D) x =…

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Q: ful nd ! CI+ 2i) (3 -4i) HiW

A: Given that: (1+2i)3(3-4i)7(5+4i)7

Q: (3) I= √(1-x²) ³² 203 x dx

A:

Q: Find the distance d(P1, P2) between the points P, and P2. P1 =(-5,5) P2 = (2,4) d (P1, P2) =D…

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Q: B) Find the root and the height of (T, vo) where A = {1,2, 3, 4, 5} 6. and T = {(1,4), (2,3), (3,…

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Q: b) Use an algebraic proof to show that (AUB) - (AUC) = (B-C) - A

A:

Statements and Logic

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