/*! 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. 229 The sum of two numbers is 11 and... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 229 (page 1148)

The sum of two numbers is 11 and the product is 鈭�42. Find the numbers.

Short Answer

Expert verified

-3 and 14.

Step by step solution

01

Step 1. Given information.

The sum of two numbers is 11 and the product of the two numbers is -42.

02

Step 2. Forming and solving the equations.

Let xbe the first number and ybe the second number.

According to the given information, we have

x+y=11--->(1)x.y=-42--->(2)

From equation (2), solving for x:

x=-42y--->(3)

Substituting this in equation (1) gives

-42y+y=11

Multiplying both sides by yand simplifying

role="math" -42+y2=11yy2-11y-42=0

Factor the quadratic equation:

y2-14y+3y-42=0y-14y+3=0

If y-14=0, then y=14and x=11-14=-3.

Ify+3=0, theny=-3and thenx=11-(-3)=14

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

Simplify48.

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify each complex rational expression by using the LCD.3s+6+5s-61s2-36+4s+6

In the following exercise, find

(a) Rx=fx+gx

(b) Rx=fx-gx:

fx=-4x-24x2+x-30gx=x+75-x

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 'ac' method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

In the following exercises, factor completely.

8x3-27y3
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.