Finding the focus points of a hyperbola

[astrololo]

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 ?

 

[SammyS]

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

$$\frac{x^{'2}}{4}-\frac{y^{'2}}{4}=-1$$

 

[astrololo]

Use a double $ on this site for LaTeX

$$\frac{x^{'2}}{4}-\frac{y^{'2}}{4}=-1$$

Oh thank you for telling me !

 

[Mark44]

In future posts, you need to show more of an effort than you did here. If you don't, you will get infraction points.

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.

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.

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 ?