Find a positive integer n such that 2n is a square and 3n is a cube.

Q: ove the statements: e difference of the squares of any two consecutive integers is

A: Introduction: Odd numbers are defined as numbers that cannot be divided into two equal parts. Odd…

Q: If a number has n fraction (n>1), then the square of the number has 2n factors is this true

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Q: Are all perfect squares divisible by 2

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Q: Let A - -5 -2 -5 -10 -5 -7 -20 -7-22| Solve the equation using an LU factorization of and b - Ax = b…

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Q: In the diagram, ABDE is a rectangle, ABCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

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Q: Find a counterexample to show that each of the statements is false.

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Q: Use one of the perfect square trinomial formulas to factor the following polynomial. 36x2 - 12x + 1…

A: Perfect Square Trinomial Formula is given as, equation given as : 36x2-12x+1

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: 121k²6 = (

A: Solution

Q: Find the highest common factor of 702 and 572 and express this in the form 702v+572w where v and w…

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Q: Prove that there do not exist three consecutive integer values of nn for which 43n+1443n+14 is a…

A: Given that 43n+14 We have to prove that there do not exist three consecutive integer values of n for…

Q: (d) Prôvé that the square of every prime number greater than 3 is one more than a multiple 24.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the coefficient of x7 in (1 + x + x² + x³ + x4 + ...)¹3

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Q: Find p so that  x2 - 6x + p = 0  has one root (i.e. is a perfect square)

A: We will solve it by two methods Shortcut method to find p for the equation given is x2 + b x + c  is…