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Introduction to Conic Sections - Problem 2

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

As with any system of equations, there are a variety of solving methods for a system of conics: substitution, elimination, graphing are most common. Here we use elimination to solve a system with an ellipse and a hyperbola. Be extremely careful with + - square roots in order to keep all solutions. In this case, we draw a sketch to show how we could expect 4 solutions.

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