Admissions Solving Quadratic Equations with a Linear Polynomial Relation

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The discussion centers on the derivation of a relationship between the product of two linear polynomials and the square of their average, which the author claims can solve any quadratic equation. However, responses indicate that this concept is already well-established and considered routine knowledge in mathematics. As a result, it is deemed unlikely to impress admissions committees at top universities. The consensus suggests that including this information in an application essay would not be beneficial and may even have a negative impact. The conversation emphasizes the importance of showcasing unique or advanced knowledge rather than reiterating basic mathematical principles.
Mrq
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I derived a relation between the product of two linear polynomials and the square of their average. It can be used to solve any quadratic equation. Will this help me getting into a top university?
 
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We already can solve any quadratic equation. So no.
 
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So I shouldn't include this in an essay if I am going to apply for a top university??
 
No. It will impress nobody.
 
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Actually, I think it is likely to anti-impress people. I'd exclude it.
 
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Mrq said:
I derived a relation between the product of two linear polynomials and the square of their average. It can be used to solve any quadratic equation. Will this help me getting into a top university?
This seems to be a description of completing the square to solve anyone or two variable quadratic equation. Nobody cares, because this is routine knowledge, established for a long time. The only way this would impress anyone is if you could use it in a job as an employee where most people near in the field have typically forgotten their knowledge.
 
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Thread 'Self Learning Math/Physics'

Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
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Thread 'What should I do if I found a paper with same result as mine?'

Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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