a-6=ab
You asked:
Investigate the equation: \(a - 6 = a b\).
MathBot Answer:
The graph of the equation \(a - 6 = a b\) is a hyperbola.
The coordinates of its foci are: \(\left(- 2 \sqrt{3}, 1 + 2 \sqrt{3}\right)\) and \(\left(2 \sqrt{3}, 1 - 2 \sqrt{3}\right)\).
The coordinates of its vertices are: \(\left(- \sqrt{6}, 1 + \sqrt{6}\right)\) and \(\left(\sqrt{6}, 1 - \sqrt{6}\right)\).
The asymptotes have equations: \(4 \sqrt{6} b - 4 \sqrt{6} = 0\) and \(- 4 \sqrt{6} a = 0\).