Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.1 - The Ellipse - Exercise Set - Page 967: 61

Answer

See figure. $(0,1)$ and $(0,-1)$
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Work Step by Step

Step 1. Graph the given equations $\begin{cases} x^2+y^2=1 \\ x^2+9y^2=9 \end{cases}$ as shown in the figure. Step 2. We can identify the intersection points as $(0,1)$ and $(0,-1)$ Step 3. Checking the solutions with the first equation, we have $ (0)^2+(1)^2=1$ and $ (0)^2+(-1)^2=1$ Step 4. Checking the solutions with the second equation, we have $ (0)^2+9(1)^2=9$ and $ (0)^2+9(-1)^2=9$
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