/*! 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 79 Solve the equation by completing... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 79 (page 1181)

Solve the equation by completing square method.

r2-6r=-11

Short Answer

Expert verified

The equation has no real solutions.

Step by step solution

01

Given Information  

The Given equation isr2-6r=-11.

02

Isolate the variable terms on one side and the constant terms on the other. 

The variable terms are on the left side.

r2-6r=-11

Here,b=-6.

03

Find 12b2 and add to the both sides of equation.  

=12(-6)2=-32=9

Add 9both sides.

r2-6r+9=-11+9r2-6r+9=-2

04

Factor the perfect square trinomial as a binomial square.  

(r-3)2=-2

Use the square root property.

r-3=卤-2

Since -2is not a real number.

Thus, the equation has no real solutions.

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

The length of a 200 square foot rectangular vegetable garden is four feet less than twice the width. Find the length and width of the garden . Round to the nearest tenth of a foot.

The product of two consecutive odd integers is 168. Find the integers.

Solve quadratic equation using the square root property:n2-80=0

Solve the quadratic equation using square root property.

x2+20=0

Solve(r-3)2=25.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Decision 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.