Complex Number Equations: Solving for z and Finding the Perpendicular Bisector

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Homework Help Overview

The discussion revolves around solving complex number equations, specifically focusing on the equation involving a complex conjugate and finding the perpendicular bisector of a line segment in the complex plane. The participants are exploring how to express the solutions in the form of x + iy and are attempting to derive the values of m and c for the line equation.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are considering various methods to approach the equation z + 2i z̅ = -9 + 2i, including substituting z with specific values and questioning the role of the complex conjugate. There is also discussion about rewriting the equation in terms of x and y and equating real and imaginary parts.

Discussion Status

There is an ongoing exploration of different interpretations of the problem, with some participants providing guidance on how to manipulate the equation and equate parts. The discussion is productive, with participants clarifying steps and addressing misunderstandings, though no consensus has been reached on a final approach.

Contextual Notes

Participants express frustration with the complexity of the wording in the textbook and the perceived difficulty of the problems, indicating a need for clearer understanding of the concepts involved.

  • #31
Here are my 3 Questions so far:
Q1 and Q3 on the images represent the 2 I asked in the OP. The Q2 is one I have done myself and I believe to be right. Is this any better?
 

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  • #32
King_Silver said:
Here are my 3 Questions so far:
Q1 and Q3 on the images represent the 2 I asked in the OP. The Q2 is one I have done myself and I believe to be right. Is this any better?

any help? :)
 

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