Securing Higher Grades Costing Your Pocket? Book Your Assignment at The Lowest Price Now!







Radical Equations Problem

Radical Equations

Unit 7 Problems

Application problems including radical equations.

1. A positive real number is 4 less than another. When 8 times the larger is added to the square of the smaller, the result is 96. Find the numbers.

Solution

Let one number be x

The other number is x+4

8(x+4) + x2 = 96

8x+32x2 = 96

x2 + 8x - 64= 0

x2 + 8x +16 = 80

(x+4)2 = 80

x = -4-4√5

or x = -4+4√5

2. A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72, then find the numbers.

Solution

Let one number be x

The other number is x+4

(x+4)2 + x2 = 72

x2+x2 + 8x + 16 = 72

x2 + 4x – 28 = 0

x2 + 4x = 28

(x+2)2 = 32

x = -2±√32

x= -2+√32

or x = -2+√32

3. The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.

Solution

x(4x) = 46

 x2 - 46 = 0

4x2 = 46

x2 = 23

x2 = 11.5

x = -3.39

or

x = 3.39

ignore -3.39

Hence, the dimensions are;

Length = 3.39x4 =13.56 Inches

Width = 3.39 Inches.

4. If the sides of a square measure units, then find the length of the diagonal.

Solution

Let the length of the diagonal be x

X2 = (9√3)2 + (9√3)2

X2 = (81x3) + (81x3)

X2 = 486

X = 22.05 Units

5. The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.

Solution

Let the width be x

Length = 6x-4

x(6x-4) = 20

x2-x-=0

(x-)=

Either x = -1.52(ignore)

Or x = 2.19

Length = 6(2.19)-4 = 9.14 Inches.

Width = 2.19 Inches.

Download Sample Now

Earn back money you have spent on downloaded sample



Upload Document Document Unser Evaluion Get Money Into Your Wallet



Cite This work.

To export a reference to this article please select a referencing stye below.

Assignment Hippo (2021) . Retrive from http://assignmenthippo.com/sample-assignment/radical-equations-problem

"." Assignment Hippo ,2021, http://assignmenthippo.com/sample-assignment/radical-equations-problem

Assignment Hippo (2021) . Available from: http://assignmenthippo.com/sample-assignment/radical-equations-problem

[Accessed 02/08/2021].

Assignment Hippo . ''(Assignment Hippo,2021) http://assignmenthippo.com/sample-assignment/radical-equations-problem accessed 02/08/2021.


Want latest solution of this assignment

Want to order fresh copy of the Sample Template Answers? online or do you need the old solutions for Sample Template, contact our customer support or talk to us to get the answers of it.


Submit Your Assignment Here

AssignmentHippo Features

On Time Delivery

Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.

Plagiarism Free Work

Get reliable and unique assignments by using our 100% plagiarism-free.

24 X 7 Live Help

Get connected 24*7 with our Live Chat support executives to receive instant solutions for your assignment.

Services For All Subjects

Get Help with all the subjects like: Programming, Accounting, Finance, Engineering, Law and Marketing.

Best Price Guarantee

Get premium service at a pocket-friendly rate at AssignmentHippo

FREE RESOURCES

  • Assignment Writing Guide
  • Essay Writing Guide
  • Dissertation Writing Guide
  • Research Paper Writing Guide

FREE SAMPLE FILE

  • Accounts
  • Computer Science
  • Economics
  • Engineering

Client Review

I was struggling so hard to complete my marketing assignment on brand development when I decided to finally reach to the experts of this portal. They certainly deliver perfect consistency and the desired format. The content prepared by the experts of this platform was simply amazing. I definitely owe my grades to them.

Tap to Chat
Get instant assignment help