warm up – solve by taking roots. skills check – solve by taking roots
TRANSCRIPT
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Warm up – Solve by Taking Roots
2
2
11. 6 8
4
2. 6 2 23
x
x
6 4 2
14
2
i
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Skills Check – Solve by Taking Roots
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Questions over HW?
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The Discriminant
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b ac2 4
The Discriminant tells how many & what type
of solutions the quadratic has.
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b ac2 4
Put the quadratic in standard form
first!
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b ac2 4 If the discriminant is POSITIVE, then you will have 2 real roots.
If the discriminant is ZERO, then you will have 1 real root.
If the discriminant is NEGATIVE, then you will have 2 imaginary roots.
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Foldable Notes
acb 42
Fold your paper over (top to bottom leaving about an inch at the bottom).
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acb 42
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acb 42
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acb 42
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Determine the number & types of roots.Example: 1
0432 xxb ac2 4 ( ) ( )( )3 4 1 42
9 16 7
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Determine the number & type of roots.
Example: 20442 xx
b ac2 4 ( ) ( )( )4 4 1 42
16 160
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Determine the number & type of roots.Example: 3
0452 xxb ac2 4 ( ) ( )( )5 4 1 42
25 169
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Solving by the
Quadratic Formula
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Quadratic Formula
a
acbbx
2
42
Everything must be on the same side of the equals sign before solving
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Question #1Use the quadratic formula to find the zeros.
2 6 3f x x x
3 6x
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Question #2Use the quadratic formula to find the zeros.
2 9 10f x x x
9 41
2 2x
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Question #3Use the quadratic formula to find the zeros.
22 4 5x x
5 7
4 4
ix
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Question #4Use the quadratic formula to find the zeros.
22 4 1x x
6
12
x
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HomeworkSolving Quadratics
WS