/*! 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. 7.146 Solve:b2+9b+14=0... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 7.146 (page 884)

Solve:

b2+9b+14=0

Short Answer

Expert verified

The solutions of the quadratic equations b2+9b+14=0are b=-7,-2

Step by step solution

01

Step 1. Given Information

An equation:

b2+9b+14=0

02

Step 2. Factor the quadratic expression

Factorize the equation,

b2+9b+14=0(b+2)(b+7)=0

03

Step 3. Use the Zero-Product property

Use the Zero Product Property and set each factor to zero.

b+2=0b=-2b+7=0b=-7

The value of b is b=-2,-7

04

Step 4. Check the answer

Check by substituting the values in the original equation,

When b=-2,

(-2)2+9(-2)+14=04-18+14=018-18=0

When b=-7,

(-7)2+9(-7)+14=049-63+14=063-63=0

Hence the equations hold true.

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 completely.

5q2鈭�15q鈭�90

In the following exercises, factor completely.

k4-16

Solve:18a2-30=-33a

In the following exercises, solve:

x2+9x+20=0.

Factor Differences of Squares

In the following exercises, factor.

25p2-1
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Applied 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.