Identify the conic section that the given equation represents. 3x^2 − 18xy + 4y^2 + 16x − 8y − 5 = 0

Answer 1

The presence of an "xy" terms indicates that the conic section has been rotated.

The quadratic terms having different coefficients indicate either an ellipse or a hyperbola.

(-18)² - 4(3)(4) > 0, therefore a hyperbola.