Section 10.3 & 10.4: Solving Quadratic Equations
Vertex:
Axis of Symmetry:
Solving a Quadratic:
Solving by Graphing
Example 1: __________________
Example 3: ____________________
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Find the vertex:
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Find the vertex:
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Find the axis of symmetry:
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Find the axis of symmetry:
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Solve for x:
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Solve for x:
Example 2: __________________
Example 4: ____________________
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Find the vertex:
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Find the vertex:
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Find the axis of symmetry:
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Find the axis of symmetry:
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Solve for x:
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Solve for x:
Solving Without Graphing !!!
Method 1:_________________________
1. 𝑥 2 − 4 = 0
1
2. 2𝑥 2 + 4 = 0
3. 2 𝑥 2 = 0
4. 𝑥 2 − 1 = 0
5. 2𝑥 2 − 98 = 0
6. 3𝑥 2 + 12 = 12
7.
4
𝑥2 − 1 = 0
9
8.
1
6
𝑥2 − 6 = 0
Solving Without Graphing !!!
Method 2:_________________________
Property: Zero-Product Property (ZPP)
Solve each quadratic using the Zero-Product Property.
1. (𝑥 + 5)(2𝑥 − 6) = 0
2. (6𝑘 + 9)(4𝑘 − 11) = 0
How can you make this look like a problem where we can use the ZPP???
3. Solve 𝑦 = 𝑥 2 + 3𝑥 − 4
Step 1:
Step 2:
Step 3:
Step 4:
4. 𝑥 2 + 6𝑥 = −8
5. 2𝑥 2 − 5𝑥 = 88
6. 3𝑥 2 − 2𝑥 = 21
7. 𝑦 = 𝑥 2 + 𝑥 − 42
8. 6 = 𝑥 2 − 5𝑥
9. 𝑦 = 8𝑥 2 + 24𝑥
How do I Solve???