/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 191 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 191 (page 906)

In the following exercises, solve.
8x-2-2x-1-3=0

Short Answer

Expert verified

The solutions of the given equation are x=-2and x=43.

Step by step solution

01

Step 1. Write the equation in standard form.

The given equation is:

8x-2-2x-1-3=0

It can be written as:

8(x-1)2-2x-1-3=0

Substitute x-1=u.

8u2-2u-3=0

02

Step 2. Solve the equation.

Split the middle term.

8u2-6u+4u-3=02u(4u-3)+1(4u-3)=0(2u+1)(4u-3)=0u=-12andu=34

Substitute u=x-1.

x-1=-12andx-1=34x=-2andx=43

03

Step 3. Conclusion.

The solutions of the given equation are x=-2and x=43.

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

Most popular questions from this chapter

Solve by using the Quadratic Formula:a2-2a=15

John has a 10-foot piece of rope that he wants to use to support his 8-foot tree. How far from the base of the tree should he secure the rope?

In the following exercises, solve by using the Quadratic Formula.
(x+2)(x+6)=21

Two painters can paint a room in 2 hours if they work together. The less experienced painter takes 3 hours more than the more experienced painter to finish the job. How long does it take for each painter to paint the room individually?

Solve quadratic equation64x2+144x+81=25 using square root property

See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.