/*! 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} Q12. Solve each equation by completin... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q12. (page 597)

Solve each equation by completing the square.

x2+2x+5=0

Short Answer

Expert verified

The quadratic equations have no real solutions.

Step by step solution

01

Step 1. Complete the square.

Complete the square to solve the quadratic equations by isolating x2 andb-terms.

x2+2x+5=0x2+2x+5+1=0+1鈥夆赌夆赌夆赌夆赌塖颈苍肠别鈥夆赌�222=1鈥夆赌塧诲诲鈥夆赌塼辞鈥夆赌塭补肠丑鈥夆赌塻颈诲别x2+2x+1+5鈭�5=1鈭�5鈥夆赌塖耻产迟谤补肠迟鈥夆赌�5鈥夆赌塼辞鈥夆赌塭补肠丑鈥夆赌塻颈诲别鈥夆赌�x2+2x+1=鈭�4

02

Step 2. Take the square root of each side.

The first factor x2+2x+1, then take the square root of each side.

width="400" height="54" role="math">(x+1)2=鈭�4(x+1)2=卤鈭�4鈥夆赌涂补办别鈥夆赌塼丑别鈥夆赌塻辩耻补谤别鈥夆赌塺辞辞迟鈥夆赌塷蹿鈥夆赌塭补肠丑鈥夆赌塻颈诲别鈥�

03

Step 3. Write the solutions.

No real number has a negative square. So, this equationx2+2x+5=0 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

OPEN-ENDED Describe a real-world situation that involves a quadratic equation. Explain what the vertex represents.

Find the next three terms in each geometric sequence.

鈭�1,1,鈭�1,1,.....

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

x2+5x+6=0

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

An exponential growth equation isy=C1鈭�rt

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

The graph of a quadratic function has a maximum if the coefficient of the x2is positive.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

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.