Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Practice Final Exam - Page 706: 66

Answer

$$ (5,1), (5,-1),(-5,1), (-5,-1)$$

Work Step by Step

There are two ways to graph a function. First of all, we could recognize, based on the form that the equation is in, what the shape and location of the graph will be. However, it can often times be easier to plot points in order to see the shape of the graph, allowing us to create the overall graph. In this case, we identify the form of the function. Using the formulas, we see that the first function is an ellipse and the second is a hyperbola. Using this, we create the attached graph. Next, we find the intersects, which are the solutions to the system of equations. Doing this, we find that the solution is: $$ (5,1), (5,-1),(-5,1), (-5,-1)$$
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