Wed 11/4 Lesson 4 – 7 Learning Objective: To solve using quadratic equations Hw: Lesson 4 – 7...
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Transcript of Wed 11/4 Lesson 4 – 7 Learning Objective: To solve using quadratic equations Hw: Lesson 4 – 7...
![Page 1: Wed 11/4 Lesson 4 – 7 Learning Objective: To solve using quadratic equations Hw: Lesson 4 – 7 WS.](https://reader038.fdocuments.in/reader038/viewer/2022103101/5697bfaf1a28abf838c9d1b7/html5/thumbnails/1.jpg)
Perform the indicated Operations1. 2. 3.
Warm – up #2
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1. = = 2. = = = =
Warm – up #2 Solutions
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3.
=
=
=
=
=
Warm – up #2 Solutions∙(2+3 𝑖)(2+3 𝑖)
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Homework Log
Wed
11/4
Lesson 4 – 7
Learning Objective: To solve using quadratic equations
Hw: Lesson 4 – 7 WS
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11/4/15 Lesson 4 – 7 Quadratic Formula
Algebra II
![Page 6: Wed 11/4 Lesson 4 – 7 Learning Objective: To solve using quadratic equations Hw: Lesson 4 – 7 WS.](https://reader038.fdocuments.in/reader038/viewer/2022103101/5697bfaf1a28abf838c9d1b7/html5/thumbnails/6.jpg)
To solve quadratic equations by using quadratic formula
To find discriminant To understand what discriminant describes
Learning Objective
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Quadratic FormulaQuadratic Equation
***Must = 0 before solving!!Solve using Quadratic Formula
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DiscriminantDiscriminant – tells the nature of the roots (Part under the radical)Discriminant RootsZero 1 real double rootPositive 2 real rootsNegative 2 imaginary roots
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DiscriminantFind the discriminant & determine the nature of the roots.1. a = 2 b = –1 c = –15 = 121
= = 1 + 120
2 Real Roots
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DiscriminantFind the discriminant & determine the nature of the roots.2. a = 4 b = –20 c = 25 = 0
= = 400 – 400
1 Real Double Root
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DiscriminantFind the discriminant & determine the nature of the roots.3. a = 1 b = 4 c = 13 = –36
= = 16 – 52
2 Imaginary Roots
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Solve by Quadratic Formula
4.
Set = 0
a = 9 b = 7 c = –1
x ,
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Solve by Quadratic Formula
5.
Distribute & Set = 0
a = 1 b = 2 c = –168
x = 12, –14
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Solve by Quadratic Formula
6.
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Solve by Quadratic Formula
7.
Discriminant = 0
1 Real Double Root
x = 3 and x = 3 (counts twice!)
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Solve by Quadratic Formula
8.
x ,
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Solve by Quadratic Formula
9.
x ,
x x
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Solve by Quadratic Formula
10.
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Solve by Quadratic Formula
11.
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Solve by Quadratic Formula
12.
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Find discriminantDescribe the types of solutionsSolve using Quadratic Formula
Ticket Out the Door
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Assignment:
Lesson 4 – 7 WS