In Lesson 9.5, you explored the number of points of intersection of two conic sections. You saw that, for example, a hyperbola and an ellipse can intersect 0, 1, 2, 3, or 4 times. However, points of intersection on a coordinate plane only include the real solutions to a system of equations. If you include nonreal answers, how many solutions can a system of conic sections have? Consider each pair of the four conic sections. Explain how the number of solutions is related to the exponents in the original equations.