Hyperbola is at the center of coordinate system. Its foci (?) are on abscissa. There are two points on the hyperbola; these are and . What is hyperbola's equation?

(I'm having trouble with solving two equations that follow(Headbang).)

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- Sep 18th 2008, 12:37 PMcourteousHyperbola
Hyperbola is at the center of coordinate system. Its foci (?) are on abscissa. There are two points on the hyperbola; these are and . What is hyperbola's equation?

(I'm having trouble with solving two equations that follow(Headbang).) - Sep 18th 2008, 12:56 PMChris L T521
Since its foci are on the abscissa [x-axis] and the hyperbola is centered at the origin, we know that the hyperbola has the form , where

Now plug the two points into this equation, and you will generate two new equations:

At , we get

At , we get

After solving the system of equations, I got

But I'm getting

Are you sure that you wrote down the coordinates correctly?

--Chris - Sep 18th 2008, 10:19 PMcourteous