/*! 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.441 (a) Solve the equation r+4聽-r+2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q.441 (page 1109)

(a) Solve the equation r+4-r+2=0

(b) Explain why one of the 鈥渟olutions鈥� that was found was not actually a solution to the equation.

Short Answer

Expert verified

Part (a) : r = 5,0

Part (b) : r = 0 is an extraneous solution

Step by step solution

01

Step 1. Given Information:

r+4-r+2=0

02

Step 2. Finding solutions for part (a) :

r+4-r+2=0r+4=r-2r+4=(r-2)2r+4=r2+4-4r0=r2-5r0=r(r-5)r=0;r=5(Useingthezeroproductproperty)

03

Step 3. Check the solution for part(b) :

r=55+4-5+2=09-3=03-3=00=0so,5isoneofitssolution.r=00+4-0+2=04+2=02+2=04鈮�0r=0isanextraneoussolution.

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

Try It.

Katie wants to plant a square lawn in her front yard. She has enough sod to cover an area of 370 square feet. Use the formula s=A to find the length of each side of her lawn. Round your answer to the nearest tenth of a foot.

In the following exercises, simplify by rationalizing the denominator

5n-7

Explain why an equation of the form x+1=0has no solution.

In the following exercises, simplify and rationalize the denominator.

1011

In the following exercises, solve.

2y+4+6=0
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.