/*! 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} Q43. Solve each equation.聽x4-5x2+4=0... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q43. (page 637)

Solve each equation.

x4-5x2+4=0

Short Answer

Expert verified

The solutions are-2, -1, 1and2.

Step by step solution

01

Step 1. Given Information.

Given, to solve the equation x4-5x2+4=0.

02

Step 2. Calculation.

Solving the equation:

x22鈭�5x2+4=0x22鈭�x2鈭�4x2+4=0鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌�Writingitinthequadraticformx2x2鈭�1鈭�4x2鈭�1=0x2鈭�1x2鈭�4=0鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨�勨�勨�勨�勨�勨��Factoringthetrinomialx2鈭�12x2鈭�22=0x鈭�1x+1x鈭�2x+2=0鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌�Factoringeachdifferenceofsquares

Using the Zero Product Property:

x鈭�1=0orx+1=0orx鈭�2=0orx+2=0x=1orx=鈭�1orx=2orx=鈭�2

03

Step 3. Conclusion.

Hence, the solutions are -2, -1, 1 and 2.

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

Evaluate each expression.

4!2!2!

Evaluate each expression.

5!5!0!

Determine whether each situation involves a permutation or a combination. Then find the number of possibilities.

Placing an algebra book, a geometry book, a chemistry book, an English book, and a health book on a shelf.

How many different arrangements of the letters of the Hawaiian word aloha are possible?

Tim wants to buy one of three different albums he sees in a music store. Each is available on tape and on CD. From how many combinations of album and format does he have to choose?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Pure 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.