3lx-1l-2=13

asked by guest
on Nov 19, 2024 at 4:49 pm



You asked:

Investigate the equation: \(3 l x - 1 l - 2 = 13\).

MathBot Answer:

The graph of the equation \(3 l x - 1 l - 2 = 13\) is a hyperbola.


The coordinates of its foci are: \(\left(- \sqrt{10}, \frac{1}{3} - \sqrt{10}\right)\) and \(\left(\sqrt{10}, \frac{1}{3} + \sqrt{10}\right)\).

The coordinates of its vertices are: \(\left(- \sqrt{5}, \frac{1}{3} - \sqrt{5}\right)\) and \(\left(\sqrt{5}, \frac{1}{3} + \sqrt{5}\right)\).

The asymptotes have equations: \(- 2 \sqrt{5} l = 0\) and \(- 12 \sqrt{5} x + 4 \sqrt{5} = 0\).