Activities

Download
- Download All Files (ZIP)
- Teacher Files
- Teacher Notes PDF
- Student Files
- Student Activity DOC
- Student Activity PDF
- TI-Nspire Activity TNS
Alignment
- Standards Alignment
- Textbook Alignment
Subject Area
- Math: Precalculus: Radical Functions
- Math: Precalculus: Rational Functions
Author

Texas Instruments
Level

9-12
Activity Time

15 Minutes
Device
- TI-Nspire™ CX/CX II
- TI-Nspire™ CX CAS/CX II CAS
- TI-Nspire™
- TI-Nspire™ CAS
Software

TI-Nspire™
TI-Nspire™ CAS
TI-Nspire Version

3.0
Report an Issue

Extraneous Solutions

Activity Overview

Students will solve quadratic equations step by step graphically. They will discover that some of the equations have an extraneous solution and they will investigate at which step in solving the equation that these extra solutions appear.

Key Steps

You may wish to work though this problem with students if they are unfamiliar with solving equations graphically. Students will be moving back and forth between pages 1.3 and 1.4 to access the equations and then the graph. Encourage them to write the solution(s)—i.e., the x‑coordinates of the point(s) of intersection of functions f1 and f2 - on their worksheet.

Control your cookie preferences

You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Category

Description

Allow

Analytics and performance cookies

These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).

Advertising and marketing cookies

These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.

Functional cookies

These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly.

Social media cookies

These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.

Strictly necessary

These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).

Always On

Download

Teacher Files

Student Files

Alignment

Subject Area

Author

Level

Activity Time

Device

Software

TI-Nspire Version

Report an Issue

Extraneous Solutions

Activity Overview

Key Steps

Control your cookie preferences