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: 62

Answer

See figure; solution: $(0,5)$ and $(0,-5)$
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Work Step by Step

Step 1. Graph the given equations $\begin{cases} x^2+y^2=25 \\ 25x^2+y^2=25 \end{cases}$ as shown in the figure. Step 2. We can identify the intersect points as $(0,5)$ and $(0,-5)$ Step 3. Checking the solutions with the first equation, we have $ (0)^2+(5)^2=25$ and $ (0)^2+(-5)^2=25$ Step 4. Checking the solutions with the second equation, we have $25 (0)^2+(5)^2=25$ and $25 (0)^2+(-5)^2=25$
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