Explanation Given: The given hyperbola equation is, x 2 − 2 x − 25 y 2 − 50 − 54 = 0 Definition: The standard equation of hyperbola is as follows, A ( x − h ) 2 − B ( y − k ) 2 = C Here, C is constant term. To find the equation for the asymptotes replace the constant term of A ( x − h ) 2 − B ( y − k ) 2 = C with 0 and solve for y as follows, A ( x − h ) 2 − B ( y − k ) 2 = 0 Calculation: Consider the given equation and solve the square on x and on y and convert into the form of standard equation of hyperbola as follows, x 2 − 2 x − 25 y 2 − 50 y − 54 = 0 1 ( x 2 − 2 x ) − 25 ( y 2 + 2 y ) = 54 ( x 2 − 2 x + 1 ) − 25 ( y 2 + 2 y + 1 ) = 54 + 1 − 25 Solve the equation further and write in terms of standard hyperbola equation, ( x − 1 ) 2 − 25 ( y + 1 ) 2 = 30 … ( 1 ) Compare equation ( 1 ) with general equation A ( x − h ) 2 − B ( y − k ) 2 = C

10th Edition

ISBN: 9781285195728

Author: Jerome E. Kaufmann, Karen L. Schwitters

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 8.CT, Problem 17CT

To determine

To find:

The equation of the asymptotes for given hyperbola equation x2−2x−25y2−50−54=0

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.CT, Problem 16CT

Chapter 8.CT, Problem 18CT

Students have asked these similar questions

Safari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [

So confused. Step by step instructions please

In simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)

Chapter 8 Solutions

Intermediate Algebra

Ch. 8.1 - For Problems 110, answer true or false. The graph...Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Prob. 4CQ Ch. 8.1 - Prob. 5CQ Ch. 8.1 - Prob. 6CQ Ch. 8.1 - Prob. 7CQ Ch. 8.1 - Prob. 8CQ Ch. 8.1 - Prob. 9CQ Ch. 8.1 - Prob. 10CQ

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The equation of the asymptotes for given hyperbola equation x 2 − 2 x − 25 y 2 − 50 − 54 = 0

Solution Summary: The author explains that the equation of the asymptotes for given hyperbola equation is x2-2x-25y 2-50-54=0.

Videos

To find:

The equation of the asymptotes for given hyperbola equation x2−2x−25y2−50−54=0

Want to see the full answer?

Chapter 8 Solutions

The equation of the asymptotes for given hyperbola equation x 2 − 2 x − 25 y 2 − 50 − 54 = 0

Solution Summary: The author explains that the equation of the asymptotes for given hyperbola equation is x2-2x-25y 2-50-54=0.

Videos

To find: The equation of the asymptotes for given hyperbola equation x2−2x−25y2−50−54=0

Want to see the full answer?

Chapter 8 Solutions

To find:

The equation of the asymptotes for given hyperbola equation x2−2x−25y2−50−54=0