/*! 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. 9.69 The product of two consecutive o... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 9.69 (page 909)

The product of two consecutive odd integers is 99. Find the integers.

Short Answer

Expert verified

Two consecutive odd integers whose product is 99 are 9, 11 and -9,-11.

Step by step solution

01

Step 1. Form a quadratic equation.

It is given that the product of two consecutive odd integers is 99.

Let nbe the first odd integer and n+2is the second odd integer. Then,

n(n+2)=99n2+2n-99=0

02

Step 2. Solve the equation.

Split the middle term.

n2+11n-9n-99=0n(n+11)-9(n+11)=0(n-9)(n+11)=0n=9andn=-11

03

Step 3. Determine the second odd integer.

For n=9,

n+2=9+2=11

Forn=-11

n+2=-11+2=-9

04

Step 4. Conclusion.

Two consecutive odd integers whose product is 99 are 9, 11 and -9,-11.

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

Explain how to recognize an equation in quadratic form.

Roy kayaked up the river and then back in a total time of 6 hours. The trip was 4 miles each way and the current was difficult. If Roy kayaked at a speed of 5 mph, what was the speed of the current?

The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the length of the shadow and the length of the flag pole. Round to the nearest tenth.

In the following exercises, solve by using the Quadratic Formula.
2x2-x+1=0

Solve quadratic equation x2-6x+9=12using square root property
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

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.