quadratic equations and prime numbers.
Write a 2 pages paper on quadratic equations and prime numbers.
Project An Interesting Method for Solving Quadratic Equation from India A quadratic equation can be solved using many different methods availablesuch as quadratic formula, graphical method, factorization, and completing the square. This paper will use and discuss an interesting method for solving quadratic equations came from India (Bluman, 2005).For example, taking quadratic equation . The steps of this method are(a) Move the constant term to the right of the equation.(b) Multiply each term in the equation by four times the coefficient of the term.(c) Square the coefficient of the original x term and add it to both sides of the equation.(d) Take the square root of both sides.(e) Set the left side of the equation equal to the positive square root of the number on the right side and solve for x.(f) Set the left side of the equation equal to the negative square root of the number on the right side and solve for x.
The values x = 2, and x = -5 satisfies the quadratic equation. Therefore, the solutions are correct.Using this approach, the solutions for some other quadratic equations are given below.A) . Solution: , B) . Solution: No real solution, as the right side of the equation is negative number in step (c) of this method (See Appendix 1).C). Solution: , D) . Solution: , In conclusion, whenever it is possible to take square root of the right side of the equation in step (d) of this method, there exist real solutions of the equation.
And, whenever it is not possible to take square root of the right side of the equation in step (d) of this method, there exist no real solutions of the equation.ReferenceBluman, A.G. (2005). Mathematics in Our World. McGraw-Hill: New York.Appendix 1A) B) , no real solution as it is not possible to take square root of -32.C)D) Project #2: Quadratic Formula for Yielding Prime NumbersPrime number is defined as the number divisible by 1 or itself. A prime number has only two factorization 1 and the number itself.
Mathematicians have been searching for a formula that yields prime numbers and found one such formula as (Bluman, 2005). This paper will use this formula for yielding prime numbers and verify extent to which it can generate prime numbers. .Let Lets plug in x = 0, 1, 2, 3, 5, 7, 10, 12 and 20 and see if we get prime numbers.(Prime number)(Prime number)(Prime number)(Prime number)(Prime number)(Prime number)(Prime number)(Prime number)(Prime number)Therefore, it can be seen that the yields prime number for smaller values of x.
The formula will not yield prime number when the term will be zero as will be divisible by x. Therefore, putting the term equals to zero. .Now, lets plug in x = 41 and 42 and see if we get prime numbers.(Composite number)(Composite number)In conclusion, the formula yields prime number for x value less than 41 (see appendix 1). However, for x value equal to or greater than 41 it does not yields prime number.ReferenceBluman, A.G. (2005). Mathematics in Our World. McGraw-Hill: New York.
Calculate the price of your order
Select your paper details and see how much our professional writing services will cost.
- Freebies
- Format
- Formatting (MLA, APA, Chicago, custom, etc.)
- Title page & bibliography
- 24/7 customer support
- Amendments to your paper when they are needed
- Chat with your writer
- 275 word/double-spaced page
- 12 point Arial/Times New Roman
- Double, single, and custom spacing
-
We care about originality
Our custom human-written papers from top essay writers are always free from plagiarism.
-
We protect your privacy
Your data and payment info stay secured every time you get our help from an essay writer.
-
You control your money
Your money is safe with us. If your plans change, you can get it sent back to your card.
How it works
-
1
You give us the detailsComplete a brief order form to tell us what kind of paper you need.
-
2
We find you a top writerOne of the best experts in your discipline starts working on your essay.
-
3
You get the paper doneEnjoy writing that meets your demands and high academic standards!
Get your own paper from top experts
Order nowPerks of our essay writing service
We offer more than just hand-crafted papers customized for you. Here are more of our greatest perks.
Frequently asked questions
Get instant answers to the questions that students ask most often.
See full FAQIs there a possibility of plagiarism in my completed order?
We complete each paper from scratch, and in order to make you feel safe regarding its authenticity, we check our content for plagiarism before its delivery. To do that, we use our in-house software, which can find not only copy-pasted fragments, but even paraphrased pieces of text. Unlike popular plagiarism-detection systems, which are used by most universities (e.g. Turnitin.com), we do not report to any public databases—therefore, such checking is safe.
We provide a plagiarism-free guarantee that ensures your paper is always checked for its uniqueness. Please note that it is possible for a writing company to guarantee an absence of plagiarism against open Internet sources and a number of certain databases, but there is no technology (except for turnitin.com itself) that could guarantee no plagiarism against all sources that are indexed by turnitin. If you want to be 100% sure of your paper’s originality, we suggest you check it using the WriteCheck service from turnitin.com and send us the report.
I received some comments from my teacher. Can you help me with them?
Yes. You can have a free revision during 7 days after you’ve approved the paper. To apply for a free revision, please press the revision request button on your personal order page. You can also apply for another writer to make a revision of your paper, but in such a case, we can ask you for an additional 12 hours, as we might need some time to find another writer to work on your order.
After the 7-day period, free revisions become unavailable, and we will be able to propose only the paid option of a minor or major revision of your paper. These options are mentioned on your personal order page.
How will I receive a completed paper?
You will get the first version of your paper in a non-editable PDF format within the deadline. You are welcome to check it and inform us if any changes are needed. If everything is okay, and no amendments are necessary, you can approve the order and download the .doc file. If there are any issues you want to change, you can apply for a free revision and the writer will amend the paper according to your instructions. If there happen to be any problems with downloading your paper, please contact our support team.Where do I upload files?
When you submit your first order, you get a personal account where you can track all your orders, their statuses, your payments, and discounts. Among other options, you will have a possibility to communicate with your writer via a special messenger. You will be able to upload all information and additional materials on your paper using the “Files” tab on your personal page. Please consider uploading everything you find necessary for our writer to perform at the highest standard.