/*! 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 289 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q 289 (page 627)

In the following exercises, solve:

49m2=144

Short Answer

Expert verified

On solving the equation, we get m=127,-127.

Step by step solution

01

Step 1. Given information.

Consider the given equation,

49m2=144

Write the quadratic equation in standard form,

49m2-144=0

02

Step 2. Factor the quadratic expression.

On factoring, we get,

7m2-122=07m+127m-12=0

Use the zero product property,

7m+12=0m=-127

Then,

7m-12=0m=127

03

Step 3. Check the answers.

Substitute m=127in the given equation,

491272=14449脳14449=144144=144

This is true.

Substitute m=-127in the given equation,

49-1272=14449脳14449=144144=144

This is also true.

Hence, the answer ism=127,-127.

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.

y2-18y+45

In the following exercises, factor completely using the difference of squares pattern, if possible.
m2-6m+9-16n2

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

6y2+7y+24y+28

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

y2-5y+6

In the following exercises, factor the greatest common factor from each polynomial.

4y2+8y-4
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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.