Which conic section is represented by the equation?

Question

x^2 - y^2 + 24x + 4y + 28 = 0.

Answer 1

A hyperbola, because of the opposite signs of the x^2 and y^2 terms.

By completing squares, it can be rewritten in a standard form
[(x-a)/c]2 - [(y-b)/c]^2 = 1