Equation for y to obtain an equation that represents circle

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Homework Help Overview

The discussion revolves around the equation of a circle represented as 2x² + 2y² = 7. Participants are exploring how to express y in terms of x to represent the lower portion of the circle graphically.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to solve the circle equation for y and question the assumptions regarding the range of y values. There is mention of needing to include a ± symbol when expressing y, depending on the graphical representation.

Discussion Status

The discussion is active, with participants offering algebraic insights and questioning the completeness of the information provided. Some guidance on the need for a ± symbol has been suggested, indicating a productive direction in the exploration of the problem.

Contextual Notes

There is uncertainty regarding the specific values or constraints of x that may affect the solution, as well as the interpretation of the range of y values.

Niaboc67
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Homework Statement


The equation that is first listed is: 2x^2 + 2y^2 = 7

Homework Equations


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The Attempt at a Solution



It's redefing the bottom portion therefore I think it's y=0,-2 because that is the range?
 
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Niaboc67 said:

The Attempt at a Solution



It's redefing the bottom portion therefore I think it's y=0,-2 because that is the range?
I do not get how you think that is a solution. The solution is an equation in the form of y = f(x) such that it is represented by the graph shown (the lower portion of the circle. This is trivial.
 
Is there something known about x that you forgot to tell us ?
 
If you use some algebra to solve the circle equation for y, you should have a ##\pm## symbol in front of the x part. You want to either choose + or - based on what the plot shows.
 

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