x*y=1152
You asked:
Investigate the equation: \(x y = 1152\).
MathBot Answer:
The graph of the equation \(x y = 1152\) is a hyperbola.
The coordinates of its foci are: \(\left(-48, -48\right)\) and \(\left(48, 48\right)\).
The coordinates of its vertices are: \(\left(- 24 \sqrt{2}, - 24 \sqrt{2}\right)\) and \(\left(24 \sqrt{2}, 24 \sqrt{2}\right)\).
The asymptotes have equations: \(- 96 \sqrt{2} x = 0\) and \(- 96 \sqrt{2} y = 0\).