## Lesson 15.5 - Solving Quadratics with Complex Solutions

**Essential Question(s):**

Why do quadratic functions have imaginary solutions and how to you find them?

**Follow the steps to complete your notes and review the content.**

**STEP 1: Preparation**

__Title__your spiral with the heading above,

__copy__the essential question(s), and draw your border line for the Cornell notes.

**STEP 2: Textbook**

__Answer__the follow questions by using your workbook.

__Read__more than enough to ensure a complete answer to the question.

Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question.

Make sure to

__write enough to answer the question__.

__Problem 1__

- What are the possible solutions to a quadratic function? (page 1114 - 1116)

__Problem 2__

- What if a quadratic function has no real solutions? (page 1117)
- Graphically, how do you know what kind of roots a quadratic has? (page 1117)
- How do you find imaginary roots of quadratic functions? (page 1117 - 1118)
- Algebraically, how do you know what kind of roots a quadratic has? (page 1118)

__Chapter Summary__

- Review the summary and add additional notes as needed.

**STEP 3: Cognitive Tutor spiral**

__Copy__down diagrams, expressions, and other essential work

__from problems that help illustrate the topic(s) covered__.

Make sure to

__address__the question(s) below.

__Be selective__with what you choose to copy down.

- Module 7 Unit 3

**STEP 4: Self-check**

Perform a self-check after the lesson is completed in class by asking yourself the following question:

*"Can you*

__answer__the essential question(s)__completely__?"- Yes? Awesome job! You took
__effective notes__, and__paid attention__. You are on your way to success! :D - No? Ok. We all have struggles.
__Determine__why you said no, r__evise__your notes and self-check again.__Do not get discouraged__.