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The video discusses the basics of a hyperbola with the focus outside of its origin. It explains how to find the equation of the hyperbola using Euclidean geometry and how to represent it in its general form.

**00:00:00**In this video tutorial, we'll be discussing the basics of a hyperbola with the focus outside of its origin. We'll be taking into account some recommendations before solving the example problem. When graphing the points in the Cartesian plane, the focus points are located at (51, 1), (2, 5), and (3, 1). The vertices of the hyperbola are located at (31, 1), (0, 1), and (0, 0). The equation of the hyperbola is given by: x² - x - 10x + 1 = 0.**00:05:00**The author explains how to find the equation of a Hipérbola with a center outside of the origin using Euclidean geometry. The coordinates of the center are found using the equation x = a - b*h, where a and b are the coordinates of the center, h is the height of the curve, and x is the distance between the vertices. The equation can be written in its general form as x = c*h, where c is a constant. The author then shows how to represent the equation in its general form using multiplication by the common denominator of 144 and 916. This results in the equation x = c*h - d*h, where c, d, and h are constants.

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