SOLUTION: Can ANYONE help me with this problem? No one seems to know the foci of this equation. Please Help!!! (x^2/16)-(y^2/4)= 1 Thank You, Sarah

Question 202428: Can ANYONE help me with this problem? No one seems to know the foci of this equation. Please Help!!!

(x^2/16)-(y^2/4)= 1

Thank You,
Sarah
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This equation is a hyperbola in the form (this hyperbola opens left/right).

The foci for any hyperbola in the form are (h+c,k) and (h-c,k) where

In this case, , , (since ) and (since )

So ---> ---> which means that

Now plug in the given h, k, and c values into (h+c,k) and (h-c,k) to get:

and

and simplify to get

and

So the foci are

and

Note: the foci approximate to (4.4722, 0) and (-4.4722, 0)
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