Problem
Identify the type of the conic section represented by the equation \(9x^2 - 16y^2 = 144\).
Solution
Step 1 ：Step 1: Rewrite the equation in the standard form for conic sections.
Step 2 ：\(\frac{x^2}{16} - \frac{y^2}{9} = 1\)
Step 3 ：Step 2: Identify the conic section.
Step 4 ：The equation is in the form \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\), which is the standard form of a hyperbola.
