Which conic section is represented by the following equation?–5x2 + 9xy + 5y2 + 6x – 4y + 11 = 0

For a conic in the form Ax² + Bxy + Cy² + Dx + Ey + F = 0, use B² − 4AC to classify it. Here A = −5, B = 9, and C = 5, so B² − 4AC = 9² − 4(−5)(5) = 181, which is positive. A positive value indicates a hyperbola, so the equation represents a hyperbola.

AI-written and checked against the verified answer.