Finding the focus points of a hyperbola

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Homework Help Overview

The discussion revolves around finding the focus points of a hyperbola defined by the equation x²/4 - y²/4 = -1. Participants are exploring analytical methods to determine these focus points.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express a need for hints or analytical methods to find the focus points. There are repeated requests for guidance without specific methods being outlined.

Discussion Status

Some participants have acknowledged the need for more effort in their posts, while others are seeking clarification on the hyperbola's form and its implications for finding the focus points. There is an ongoing exchange about the proper representation of the hyperbola and its characteristics.

Contextual Notes

There is mention of formatting issues with LaTeX in the posts, and a participant has pointed out the need for clearer expressions of effort in the homework submissions. The original equation's form is also questioned, with an alternative representation suggested.

astrololo
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Homework Statement


So I have the following hyperbola

x^2/4 - y^2/4 = -1

I need to find the focus points of this hyperbola. What is some analytical way to do this ?

Thank yoU!

Homework Equations


I don't know...

The Attempt at a Solution



I need some analytical way to be able to do this. Can somebody give me a hint ?
 
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astrololo said:

Homework Statement


So I have the following hyperbola
$$\frac{x^{'2}}{4}-\frac{y^{'2}}{4}=-1$$
I need to find the focus points of this hyperbola. What is some analytical way to do this ?

Thank yoU!

Homework Equations


I don't know...

The Attempt at a Solution



I need some analytical way to be able to do this. Can somebody give me a hint ?
Use a double $ on this site for LaTeX

$$\frac{x^{'2}}{4}-\frac{y^{'2}}{4}=-1$$
 
SammyS said:
Use a double $ on this site for LaTeX

$$\frac{x^{'2}}{4}-\frac{y^{'2}}{4}=-1$$
Oh thank you for telling me !
 
In future posts, you need to show more of an effort than you did here. If you don't, you will get infraction points.
astrololo said:

Homework Statement


So I have the following hyperbola

x^2/4 - y^2/4 = -1
Or equivalently, ##\frac{y^2}{4} - \frac{x^2}{4} = 1##.
This is a form that is simpler to work with.
astrololo said:
I need to find the focus points of this hyperbola. What is some analytical way to do this ?
See https://en.wikipedia.org/wiki/Hyperbola.
astrololo said:
Thank yoU!

Homework Equations


I don't know...

The Attempt at a Solution



I need some analytical way to be able to do this. Can somebody give me a hint ?
 

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