/*! 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 288 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q 288 (page 627)

In the following exercises, solve:

12b2-15b=-9b

Short Answer

Expert verified

On solving the equation, we get b=0,12.

Step by step solution

01

Step 1. Given information.

Consider the given equation,

12b2-15b=-9b

Write the quadratic equation in standard form,

12b2-15b+9b=012b2-6b=0

02

Step 2. Factor the quadratic expression.

On factoring, we get,

6b2b-1=0

Use the zero product property,

6b=0b=0

Then,

2b-1=02b=1b=12

03

Step 3. Check the answers.

Substitute b=0in the given equation,

1202-150=-900=0

This is true.

Substitute b=12in the given equation,

12122-1512=-9123-152=-92-92=-92

This is also true.

Hence, the answer isb=0,12.

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

In the following exercises, factor each trinomial of the form x2+bx+c.

m2-13m+30

In the following exercises, factor each trinomial of the form x2+bx+c.

x2-8x+7

Factor by Grouping In the following exercises, factor by grouping.

16q2-8q-35

Factor by Grouping In the following exercises, factor by grouping.

9p2-3p-20

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
216a3+125b3
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Statistics

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.