/*! 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} Q36. Solve each equation by completin... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q36. (page 594)

Solve each equation by completing the square. Round to the nearest tenth if necessary.

鈭�3x2+4=0

Short Answer

Expert verified

Thesolutions of the quadratic equations are鈭�1.2鈥夆赌塧苍诲鈥夆赌�1.2.

Step by step solution

01

Step 1. Complete the square.

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

鈭�3x2+4=0鈭�3x2+4鈭�4=0鈭�4鈥夆赌夆赌夆赌塠鈥夆赌塻耻产迟谤补肠迟鈥夆赌�4鈥夆赌塮谤辞尘鈥夆赌塭补肠丑鈥夆赌塻颈诲别鈥夆赌坞鈥�鈭�3x2=鈭�43x2=4鈥�

02

 Step 2. Take the square root of each side.

Now take the square root of each side.

3x2=43x=卤2

03

Step 3. Write the solutions.

Now divide both sides by 3and separate the solutions.

3x=卤23x3=卤23x=23鈥夆赌夆赌夆赌夆赌夆赌塷谤鈥夆赌夆赌夆赌�x=鈭�23

Therefore, the solutions are 23and 鈭�23which is equivalent to respectively.

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

Find the next three terms of each arithmetic sequence.

16,4,鈭�8,鈭�20,...

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

a2+12a+36

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

The expression b2鈭�4acis called the discriminant.

Consider y=x2鈭�5x+4

Find the coordinates of the vertex. Is it a maximum or minimum point?

Find the next three terms in each geometric sequence.

3,9,27,.....
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

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.