Math Problem Solver

The graph of the equation \(x y = 78\) is a hyperbola.

The coordinates of its foci are: \(\left(- 2 \sqrt{39}, - 2 \sqrt{39}\right)\) and \(\left(2 \sqrt{39}, 2 \sqrt{39}\right)\).

The coordinates of its vertices are: \(\left(- \sqrt{78}, - \sqrt{78}\right)\) and \(\left(\sqrt{78}, \sqrt{78}\right)\).

The asymptotes have equations: \(- 2 \sqrt{78} x = 0\) and \(- 2 \sqrt{78} y = 0\).