Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728



Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 8.CR, Problem 29CR
Textbook Problem

For Problems 25 30 , find the equations of the asymptotes of each hyperbola.

25 x 2 + 100 x 4 y 2 + 24 y 36 = 0

To determine

To find:

The equations of the asymptotes of the given hyperbola

Explanation of Solution


The given equation of the hyperbola is,



The general equation of the hyperbola not symmetric to both axes is,


Where, A, B and C are nonzero real numbers and C is a constant.

To find the equation for the asymptotes replace the constant term of A(xh)2B(yk)2=C with 0 and solve for y.



Consider the given equation of the hyperbola.


Express the above equation in the general form by completing the square.


Simplify the above equation.


Compare the above equation with A(xh)2B(yk)2=C

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