Explanation Given information: The equations are x 2 − y 2 = 3 and y = x 2 − 2 x − 8 . Calculation: The given equation is x 2 − y 2 = 3 Solve the equation x 2 − y 2 = 3 to obtain the value of y . y 2 = x 2 − 3 y = ± x 2 − 3 Consider x 2 − 3 as y 1 , consider − x 2 − 3 for y 2 and consider x 2 − 2 x − 8 as y 3 . To obtain the graph of the function x 2 − 3 = y 1 , − x 2 − 3 = y 2 and x 2 − 2 x − 8 = y 3 , first turn ON the calculator then press the button Y= and insert the equations as shown in Figure 1. Now, press the WINDOW button and set the viewing window [ − 7 , 7 ] by [ − 10 , 10 ] as shown in Figure 2. After this press the GRAPH button and the graph is obtained as shown in Figure 3. To obtain the first intersection of the equations x 2 − 3 = y 1 , − x 2 − 3 = y 2 and x 2 − 2 x − 8 = y 3 , press TRACE as shown in Figure 4. Therefore, the first intersection of the equations x 2 − 3 = y 1 , − x 2 − 3 = y 2 and x 2 − 2 x − 8 = y 3 is ( − 2.22 , 1.40 ) . To obtain the second intersection of the equations x 2 − 3 = y 1 , − x 2 − 3 = y 2 and x 2 − 2 x − 8 = y 3 , press TRACE as shown in Figure 5

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 5.4, Problem 38E

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The solutions of the equations x2−y2=3 and y=x2−2x−8 by the use of graphing calculator.

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Chapter 5.4, Problem 37E

Chapter 5.4, Problem 39E

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The solutions of the equations x 2 − y 2 = 3 and y = x 2 − 2 x − 8 by the use of graphing calculator.

Solution Summary: The author explains how to find the solutions of the equations x2-y2.

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To find:

The solutions of the equations x2−y2=3 and y=x2−2x−8 by the use of graphing calculator.

Want to see the full answer?

Chapter 5 Solutions

The solutions of the equations x 2 − y 2 = 3 and y = x 2 − 2 x − 8 by the use of graphing calculator.

Solution Summary: The author explains how to find the solutions of the equations x2-y2.

Videos

To find: The solutions of the equations x2−y2=3 and y=x2−2x−8 by the use of graphing calculator.

Want to see the full answer?

Chapter 5 Solutions

To find:

The solutions of the equations x2−y2=3 and y=x2−2x−8 by the use of graphing calculator.