Solving a quadratic equation as a sum and product of its roots

Thread starter chwala
Start date Jun 29, 2020
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Product Quadratic Quadratic equation Roots Sum

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Homework Help Overview

The discussion revolves around solving a quadratic equation by analyzing the sum and product of its roots, specifically focusing on the transformation of the equation and the signs of the coefficients involved.

Discussion Character

Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

Participants explore the relationship between the coefficients of the quadratic equation and the roots, questioning the signs in the derived equation. There are attempts to clarify the derivation of the sum and product of the roots in the context of the equation's transformation.

Discussion Status

Participants are actively engaging with each other's reasoning, raising questions about specific steps and signs in the equations. Some guidance has been offered regarding potential errors in calculations, and there is a recognition of differing interpretations of the signs in the final equation.

Contextual Notes

There is an ongoing discussion about the correctness of the textbook's indication of signs in the equation, with references to specific examples and calculations that may influence understanding. Participants are also considering the implications of their assumptions about the roots and coefficients.

Jul 1, 2020

PeroK

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chwala said:

The approach below is from a colleague, let me know of any other approach to this part of the question.

View attachment 265589

Your solution is a lot neater than that.

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Jul 1, 2020

chwala

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Thanks Perok, it took me a while to think on that...all the passion for this great subject...its a pleasure. I will be posting and sharing more questions...bingo!