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.)
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