Solving Quadratic Equations with a Linear Polynomial Relation

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Discussion Overview

The discussion revolves around a participant's claim of deriving a relation between the product of two linear polynomials and the square of their average, suggesting its application in solving quadratic equations. The context includes considerations of academic impressiveness and relevance for university applications.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant claims to have derived a relation that can solve any quadratic equation, questioning its potential impact on university applications.
  • Another participant asserts that quadratic equations can already be solved using established methods, implying the new relation does not add value.
  • Subsequent replies express skepticism about the impressiveness of the claim, suggesting it may not be worth including in an application essay.
  • A later reply describes the relation as similar to completing the square, emphasizing that it is considered routine knowledge and unlikely to impress academic evaluators.

Areas of Agreement / Disagreement

Participants generally disagree on the value of the derived relation for university applications, with a consensus that it is unlikely to impress admissions committees.

Contextual Notes

Participants reference established methods for solving quadratic equations, indicating that the new relation may not offer novel insights. There is an assumption that impressiveness is tied to the novelty and application of mathematical concepts in academic contexts.

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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