Texas Instruments Voyage 200 Manual

TI-89/TI-92 Plus/Voyage™ 200

Polynomial Root Finder

How To…

Start the Application Graph a Problem

Enter a Problem Store Values

Solve a Problem Navigate

Examples

Roots of a Third-Degree Polynomial

Complex Roots

Complex Coefficients

More Information

Customer Support Error Messages

Notes and Hints

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 2

Important Information

Texas Instruments makes no warranty, either expressed or

implied, including but not limited to any implied warranties of

merchantability and fitness for a particular purpose, regarding

any programs or book materials and makes such materials

available solely on an "as-is" basis.

In no event shall Texas Instruments be liable to anyone for

special, collateral, incidental, or consequential damages in

connection with or arising out of the purchase or use of these

materials, and the sole and exclusive liability of Texas

Instruments, regardless of the form of action, shall not exceed

any applicable purchase price of this item or material. Moreover,

Texas Instruments shall not be liable for any claim of any kind

whatsoever against the use of these materials by any other

party.

Graphing product applications (Apps) are licensed. See the

terms of the license agreement for this product.

Microsoft, Windows, Windows NT, Apple, Macintosh, Mac, and Mac OS are trademarks of

their respective owners.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 3

What is the Polynomial Root Finder

Application?

The Polynomial Root Finder application (App) calculates numeric

roots (zeros) of polynomials using the calculator’s eigenvalue

routines.

The Polynomial Root Finder App provides a convenient,

easy-to-use interface to simplify setting up the problem, solving

it, and exploring the solution.

You can:

•Edit the coefficients of the polynomial.7

•Load a list for the coefficients.

•Store the solution in a list.

•Graph the polynomial.

•Solve up to 30th-order real or complex polynomials.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 4

Entering a Problem

Entering data manually

1. Start the Polynomial Root Finder App and select New.

2. Enter the degree of the polynomial. The degree must be an

integer between 1 and 30.

3. Press ¸to display the Coefficients screen.

4. Enter the first coefficient value. You can enter a real or

complex value or an expression that resolves to a real or

complex value.

5. Press ¸or Dto go to the next coefficient.

6. Continue entering coefficient values.

7. Press ¸after entering the last coefficient value.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 5

Loading existing data

You can load an existing list as all or part of the problem from

within the Polynomial Root Finder App by using either of the

following methods.

•Press „and select a folder and list.

•Press ƒ1:Load Coefficients and select a folder and list.

Editing coefficients

1. If you are on the Solutions screen, press †to display the

Coefficients screen.

2. Move the cursor to a coefficient and change its value.

3. Press ¸to accept the changes.

Clearing coefficients

Press ƒ8:Clear All.

Starting a new problem

Press ƒ3:New Problem.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 6

Solving Numerically

Solutions are always computed numerically, regardless of

whether the Exact/Approx mode setting is Auto,Exact,or

Approximate.The Polynomial Root Finder App calculates roots

numerically by finding the eigenvalues of a corresponding

companion matrix.

1. Complete the coefficient entry in the Coefficients screen. You

must press ¸to accept the last entered or changed

value.

2. Press ‡to solve the problem. The numeric values of the

roots appear in the Solutions screen. The busy indicator on

the status line displays while calculating the solution.

Note The roots x1...xnare displayed according to the Complex

Format mode setting. If the mode is Real,complex roots

are displayed as Non-Real unless a complex coefficient

was entered.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 7

Solving raphically

1. After entering coefficients, press 2 ˆ (TI-89) or

ˆ1:Open Graph.This option is available from either the

Coefficients or Solutions screen.

2. Select the graphing options and press ¸.

−Split Screen — Choose 1:Full or 2:Left-Right.(The

Top-Bottom option is not available.)

−Store Poly to — Choose a y-variable or choose 1:none to

graph without storing.

−Zoom — Choose 1:ZoomRoots,2:ZoomStd,3:ZoomFit,or

4:none.ZoomRoots sets the viewing window based on

the solutions found by the Polynomial Root Finder App,

relative minimums and maximums, and inflection points.

When the graph displays, the standard graph tools such as

Zoom, Trace, and Math are available on the tool bar.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 8

Displaying graph with coefficients or solutions

In split screen mode, a thick border indicates the active portion.

Press 2 a to switch between the graph and the Coefficients

or Solutions portion.

Graph portion is active Coefficients portion is active

To display the Solutions screen with the graph, switch to the

Coefficients portion of the split screen, and press ‡.

Solutions with graph

To return to the Coefficients screen, press †from the Solutions

screen.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 9

While in split screen mode, you can change the coefficients and

recalculate the solutions. The graph does not automatically

update for the new values. To update the graph, select

2 ˆ (TI-89) or ˆ1:Open Graph from the Coefficients or

Solutions screen.

Quitting the graph

1. Press 2 a to switch to the Coefficients or Solutions

screen.

2. Press 2 ˆ (TI-89) or ˆ2:Quit Graph.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 10

Storing

Once you have entered the coefficients, you can store:

•All the coefficients to a list.

•An individual coefficient to a variable.

•The polynomial to a Y= equation.

Once you have calculated the roots, you can store:

•All the roots to a list.

•An individual root to a variable.

To store from either the Coefficients or Solutions screen:

•Press …and select one of the following:

−1:Coefficients and select a folder and list name.

−2:Solutions and select a folder and list name.

−3:Poly to Y= Editor and select a y-variable.

Other manuals for Voyage 200

This manual suits for next models

Table of contents

Other Texas Instruments Calculator manuals

Texas Instruments

Texas Instruments BA II Plus User manual

Texas Instruments

Texas Instruments TI-73 Explorer Quick start guide

Texas Instruments

Texas Instruments TI-82 STATS User manual

Texas Instruments

Texas Instruments TI-Nspire User manual

Texas Instruments

Texas Instruments -83 Plus Silver Edion User manual

Texas Instruments

Texas Instruments Titanium TI-89 User manual

Texas Instruments

Texas Instruments TI-85 User manual

Texas Instruments

Texas Instruments Calculator User manual

Texas Instruments

Texas Instruments TI-36X Pro User manual

Texas Instruments

Texas Instruments TI-Nspire User manual

Texas Instruments

Texas Instruments Voyage 200 Manual

Texas Instruments

Texas Instruments TI-73 Explorer Technical document

Texas Instruments

Texas Instruments TI-95 User manual

Texas Instruments

Texas Instruments MathPrint TI-30X Plus User manual

Texas Instruments

Texas Instruments TI-84 - Plus - Edition Graphing Calculator User manual

Texas Instruments

Texas Instruments E-5032 User manual

Texas Instruments

Texas Instruments TI-84 Plus CE User manual

Texas Instruments

Texas Instruments MathPrint TI-30X Pro Manual

Texas Instruments

Texas Instruments TI-83 - Plus Graphing Calculator Manual

Texas Instruments

Texas Instruments TI-83 User manual

Texas Instruments

Texas Instruments BA-20 Profit Manager User manual

Texas Instruments

Texas Instruments Titanium TI-89 User manual

Texas Instruments

Texas Instruments TI-10 User manual

Texas Instruments

Texas Instruments Titanium TI-89 Quick start guide

Popular Calculator manuals by other brands

HP 35s Instruction guide

Casio

Casio CFX-9970G user guide

LEXIBOOK

LEXIBOOK EL350 instruction manual

HP HP-97 Service manual

Citizen

Citizen SDC-414N instruction manual

Casio

Casio fx-3800P Operation manual

Canon

Canon P26-DHIII instructions

Citizen

Citizen 520DPA instruction manual

Sharp

Sharp EL-9900 Operation manual

Casio

Casio FX-9860GII - SOFTWARE VERSION 2-00 quick start guide

Casio

Casio MS-7UC user guide

Sharp

Sharp WriteView EL-W506 operation instruction

Casio

Casio FC-200 owner's manual

Casio

Casio fx-CG50 instructions

HP HP-67 Owner's handbook

Royal

Royal CBC2000 instruction manual

Heathkit

Heathkit IC-2009 Assembly manual

Universal

Universal UNV-15907 owner's manual