Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 982: 58

Answer

see graph; $(-3,0)$ and $(3,0)$

Work Step by Step

Step 1. Given equations $x^2-y^2=9$ and $x^2+y^2=9$, we can graph both equations as shown in the figure. Step 2. We can identify two intersect points $(-3,0)$ and $(3,0)$ as solutions to the system. Step 3. Check the solutions with the first equation: we have $(-3)^2-(0)^2=9$ and $(3)^2-(0)^2=9$ Step 4. Check the solutions with the second equation: we have $(-3)^2+(0)^2=9$ and $(3)^2+(0)^2=9$
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