   # 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 ### Intermediate Algebra

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

#### Solutions

Chapter
Section ### Intermediate Algebra

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

## 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

Given:

The given equation of the hyperbola is,

25x2+100x4y2+24y36=0

Approach:

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

A(xh)2B(yk)2=C

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.

A(xh)2B(yk)2=0

Calculation:

Consider the given equation of the hyperbola.

25x2+100x4y2+24y36=0

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

25x2+100x4y2+24y36=025(x2+4x)4(y26y)=3625(x2+4x+22)4(y26y+(3)2)=36+25(22)4(3)225(x2+4x+4)4(y26y+9)=36+10036

Simplify the above equation.

25(x+2)24(y3)2=100(1)

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

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Evaluate the integral. sinxcos(12x)dx

Calculus (MindTap Course List)

272/3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Write 318,180 in scientific notation.

Elementary Technical Mathematics

Solve each inequality. x2

Trigonometry (MindTap Course List)

y=4x2+1 defines y implicitly as a function of x.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

0 1 ∞

Study Guide for Stewart's Multivariable Calculus, 8th

What is the probability of an event E in a uniform sample space S?

Finite Mathematics for the Managerial, Life, and Social Sciences

Slopes of Lines in the Coordinate Plane For Exercises S-14 through S-25, use the fact that for points (a1,b1) a...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

CASE PROBLEM 2: COMPENSATION FOR SALES PROFESSIONALS Suppose that a local chapter of sales professionals in the...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In Problems 2530 proceed as in Example 3 to rewrite the given expression using a single power series whose gene...

A First Course in Differential Equations with Modeling Applications (MindTap Course List) 