Question 3) Prove that there is a positive integer that can be written as the sum of squares of positive integers in two different ways. [Hint: use the facts the square of a +ve integer is positive integer, the summation of two +ve integer is a positive integer]

Question

05-10-2021
Mathematics

Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Question 3) Prove that there is a positive integer that can be written as the sum of squares of positive integers in two different ways. [Hint: use the facts the square of a +ve integer is positive integer, the summation of two +ve integer is a positive integer]

Sagot :

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.

54321-5 -4 -3 -2 -1-1-323-245This is not a function.This is a function.This cannot be determined from this graph.1 2 3 3 4 5 x

When an HHS worker client doesn't make _________ with a client,the client might think they are not interested in what a client issaying.

¿Qué cambio de energía ocurre entre el generador de vapor y la turbina?A. La energía química se convierte en energía nuclear.B. La energía nuclear se convierte

Amanda is like all other managers in a perfectly competitive industry except in one respect: Because of her great sense of humor, people are willing to work for

The table below shows the mass of four objects in the Solar System. How many times as massive as [tex]\(N\)[/tex] is [tex]\(J\)[/tex]?\begin{tabular}{|c|c|}\hli

How many of the numbers from 10 through 9696 have the sum of their digits equal to a perfect square

Select the best correct answer from the drop-down menu.Look at paragraph 7 of the excerpt:"For July 10 I find this note: 'The Mosquitoes are worse now than ever

which of the following values can replace the box so 0.4x0.3x0.3x0.1x☐=0.12

A young husband notices that his wife gets frustrated when he leaves his dirty clothes on the floor for her to pick up. This is an example of __________.

Question 6 of 11Read this claim and reason:Claim: Finishing high school is one of the best things a young person can do to ensure a successful future.Reason: Hi

AFOKE88 AFOKE88 · Answer 1 · 2021-10-14T04:09:49-04:00

The statement about a positive integer being expressed as the sum of the squares of 2 positive integers has been proved below.

Positive integers are simply positive whole numbers. They don't include fractions or decimals. Examples of positive integers are; 1, 2, 3, 4, 5.....e.t.c.

Now, we want to prove that there is a positive integer that can be expressed as the sum of squares of positive integers.

For example;

a² + b² = c

where a, b and c are positive integers

If we use a = 2 and b = 4, we will have;

2² + 5² = c

c = 4 + 25

c = 29

Now, we can see that the sum of the squares of the positive integers 2 and 5 also yielded a positive integer 29.

Also, we see the facts that, the square of the positive integer 2 gave us a positive integer 4.

Also, the square of the positive integer 5, gave us a positive integer 25.

Thus, the sum of both positive integers gave us a positive integer 29 and the statement in the question is proved.

Read more at; https://brainly.com/question/13304177

Sagot :

Other Questions