Lecture 1.7b bt
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Transcript of Lecture 1.7b bt
![Page 1: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/1.jpg)
Today’s Agenda
• Attendance / Announcements
– Exam 1 – Tuesday 9/24
• Covers Chapters 1.1 to 2.4 (skip 2.5)
• BlackBoard Resources
• Questions from HW?
• Finish Section 1.7
• Classwork / Questions
![Page 2: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/2.jpg)
1.7b Quadratic EquationsLast class, we learned how to solve
quadratics using factoring , the zero product property, and the square
root property.
![Page 3: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/3.jpg)
1.7b Quadratic Equations
Solve….
0432
xx
So, we’ll need another tool to
help us solve quadratics…
![Page 4: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/4.jpg)
The Quadratic Formula
a
acbbx
2
42
![Page 5: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/5.jpg)
We have to be able
to identify a, b, c !
0322
xx
01842
x
xx 412
612
3
2 xx
94 x
![Page 6: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/6.jpg)
The Quadratic Formula
1522
xx
Number and type of solutions?
![Page 7: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/7.jpg)
The Quadratic Formula
121232
xx
Number and type of solutions?
![Page 8: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/8.jpg)
The Quadratic Formula
0682
xx
Number and type of solutions?
![Page 9: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/9.jpg)
The Quadratic Formula
0432
xx
Number and type of solutions?
![Page 10: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/10.jpg)
The Discriminant (p. 64)
This is a shortcut to determine what types
of solutions the quadratic has.
![Page 11: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/11.jpg)
The Discriminant
a
acbbx
2
42
![Page 12: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/12.jpg)
Determine the types of solutions
11292
mm
![Page 13: Lecture 1.7b bt](https://reader037.fdocuments.net/reader037/viewer/2022100606/55a14f431a28abdb488b474e/html5/thumbnails/13.jpg)
Classwork / Homework*
Page 67
1 – 51 odd (skip 37)
Page 71 (Chapter 1 Review)
All that you can handle!