Q. 8.134 Solve :z2z+8-34z-8=3z2-16z-168z2... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 8.134 (page 979)

Solve :
$\frac{z}{2 z + 8} - \frac{3}{4 z - 8} = \frac{3 z^{2} - 16 z - 16}{8 z^{2} + 16 z - 64}$ .

Short Answer

Expert verified

$z = 2, - 4$ .

Step by step solution

Step 1. Given information.

To solve $\frac{z}{2 z + 8} - \frac{3}{4 z - 8} = \frac{3 z^{2} - 16 z - 16}{8 z^{2} + 16 z - 64}$ .

Step 2. Solve using LCD.

We have

$\frac{z}{2 z + 8} - \frac{3}{4 z - 8} = \frac{3 z^{2} - 16 z - 16}{8 z^{2} + 16 z - 64} \frac{z}{2 z + 8} - \frac{3}{4 z - 8} = \frac{3 z^{2} - 16 z - 16}{(2 z + 8) (4 z - 8)}; z 鈮� 2, - 4$

Take LCD and multiply it to both sides.

$(2 z + 8) (4 z - 8) [\frac{z}{2 z + 8} - \frac{3}{4 z - 8}] = [\frac{3 z^{2} - 16 z - 16}{(2 z + 8) (4 z - 8)}] (2 z + 8) (4 z - 8) z (4 z - 8) - 3 (2 z + 8) = 3 z^{2} - 16 z - 16 4 z^{2} - 8 z - 6 z - 24 = 3 z^{2} - 16 z - 16 4 z^{2} - 14 z - 24 - 3 z^{2} + 16 z + 16 = 0 z^{2} + 2 z - 8 = 0 z^{2} + 4 z - 2 z - 8 = 0 z (z + 4) - 2 (z + 4) = 0 (z - 2) (z + 4) = 0 z = 2 o r z = - 4$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Solve :
$\frac{z}{2 z + 8} - \frac{3}{4 z - 8} = \frac{3 z^{2} - 16 z - 16}{8 z^{2} + 16 z - 64}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve using LCD.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Pure Maths

Mechanics Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

Solve :z2z+8-34z-8=3z2-16z-168z2+16z-64.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve using LCD.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Pure Maths

Mechanics Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve :
$\frac{z}{2 z + 8} - \frac{3}{4 z - 8} = \frac{3 z^{2} - 16 z - 16}{8 z^{2} + 16 z - 64}$ .