1. Solving Quadratic Equations
Section 3.7
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3.7 - Equations and Problem Solving

2. 3.7 - Equations and Problem Solving
Quadratic Equations
Put the equation into standard form, Ax2 + Bx + C = 0 (making sure the equation equals to zero)
Factor the quadratic completely
Set each factor to zero
Solve
Check
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3.7 - Equations and Problem Solving

3. 3.7 - Equations and Problem Solving
Example 1
Solve through factoring, x(x + 7) = 0
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3.7 - Equations and Problem Solving

4. 3.7 - Equations and Problem Solving
Example 2
Solve through factoring, (x – 3)(x + 1) = 0
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3.7 - Equations and Problem Solving

5. 3.7 - Equations and Problem Solving
Example 3
Solve through factoring, (5x – 1)(3x – 2) = 0
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3.7 - Equations and Problem Solving

6. 3.7 - Equations and Problem Solving
Your Turn
Solve through factoring, 2x(3x – 2) = 0
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3.7 - Equations and Problem Solving

7. 3.7 - Equations and Problem Solving
Example 4
Solve through factoring, x2 – 5x + 4 = 0
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3.7 - Equations and Problem Solving

8. 3.7 - Equations and Problem Solving
Example 5
Solve through factoring, x2 + 16x = –55
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3.7 - Equations and Problem Solving

9. 3.7 - Equations and Problem Solving
Your Turn
Solve through factoring, 9x2 = 1
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3.7 - Equations and Problem Solving

10. 3.7 - Equations and Problem Solving
Example 6
Solve through factoring, x2 – 81 = 0
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3.7 - Equations and Problem Solving

11. 3.7 - Equations and Problem Solving
Example 7
Solve through factoring, 49p3 – 9p = 0
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3.7 - Equations and Problem Solving

12. 3.7 - Equations and Problem Solving
Example 8
Solve through factoring, 14n2 – 25n = –6
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3.7 - Equations and Problem Solving

13. 3.7 - Equations and Problem Solving
Your Turn
Solve through factoring, 3t2 – 13t = –4
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3.7 - Equations and Problem Solving

14. 3.7 - Equations and Problem Solving
Assignment
Worksheet
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3.7 - Equations and Problem Solving