/*! 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 287 聽Find two consecutive odd numbe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 287 (page 1237)

Find two consecutive odd numbers whose product is 323 .

Short Answer

Expert verified

The two consecutive integers are-19,-17,17,19

Step by step solution

01

Given information 

The product of two consecutive odd integer is 323.

02

Solve the equation  

Let n=the first odd integer

n+1=the next odd integer.

The product of two consecutive odd integers is 323

The product of the first odd integer and the second odd integer is 323.

nn+2=323n2+2n=323n2+2n-323=0

03

Now , use quadratic formula to solve quadratic equation .

Identify the value of a,b,c

a=1,b=2,c=-323

x=-b卤b2-4ac2a

n=-2卤22-41-32321n=-2卤4+12922n=-2卤12962n=-2卤362n=-2-362,-2+362n=-382,342n=-19,17

When one number is -19

Other consecutive number is -19+2=-17

On the other hand when one number is 17

Other consecutive number is17+2=19

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

Solve the quadratic equation using square root property.

(a-4)2=28

Solve(q+5)2=1

The distance between opposite corners of a rectangular field is four more than the width of the field .The length of the field is twice its width . Find the distance between the opposite corners. Round to the nearest tenth.

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

q2-6q

Solvex2-50=0
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and 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.