1. 9.6: Solving Polynomials when a > 1
Do NOW
Factor the following:
3x2 + 13x – 10
6x2 + 25x + 25
3) Identify the factor of the tiles:
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9.6: Solving Polynomials when a > 1

2. 9.6: Solving Polynomials when a > 1
Worksheet Key
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9.6: Solving Polynomials when a > 1

3. 9.6: Solving Polynomials when a > 1
Worksheet Key
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9.6: Solving Polynomials when a > 1

4. Use Square Roots to Solve Quadratic Functions
Section 10.4
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6.6 - Solving Radical Equations

5. 6.6 - Solving Radical Equations
Steps
The opposite of a squared number is taking the SQUARE ROOT.
The opposite of a square root is taking the SQUARING THE NUMBER.
Given, x2 = d
If d > 0, it will have TWO solutions, usually with a PLUS/MINUS (+) sign involved in the answer
If d = 0, it will have ONE solution
If d < 0, it will have NO solution
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6.6 - Solving Radical Equations

6. What gets rid of the squared? 6.6 - Solving Radical Equations
Example 1
Solve x2 = 4
What gets rid of the squared?
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6.6 - Solving Radical Equations

7. Example 1 – Calculator Check 6.6 - Solving Radical Equations
Solve x2 = 4
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6.6 - Solving Radical Equations

8. 6.6 - Solving Radical Equations
Example 2
Solve 2x2 = 8
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6.6 - Solving Radical Equations

9. 6.6 - Solving Radical Equations
Your Turn
Solve 3x2 = 27
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6.6 - Solving Radical Equations

10. 6.6 - Solving Radical Equations
Example 3
Solve x2 – 18 = –18
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6.6 - Solving Radical Equations

11. Example 3 – Calculator Check 6.6 - Solving Radical Equations
Solve x2 – 18 = –18
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6.6 - Solving Radical Equations

12. 6.6 - Solving Radical Equations
Example 4
Solve x = 5
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6.6 - Solving Radical Equations

13. Example 4 – Calculator Check 6.6 - Solving Radical Equations
Solve x = 5
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6.6 - Solving Radical Equations

14. 6.6 - Solving Radical Equations
Example 5
Solve 4x2 = 9
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6.6 - Solving Radical Equations

15. 6.6 - Solving Radical Equations
Example 6
Solve 25x = 15
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6.6 - Solving Radical Equations

16. 6.6 - Solving Radical Equations
Your Turn
Solve 4x = 11
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6.6 - Solving Radical Equations

17. 6.6 - Solving Radical Equations
Example 7
Solve 3x2 – 11 = 7
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6.6 - Solving Radical Equations

18. 6.6 - Solving Radical Equations
Example 8
Solve 2x2 – 7 = 2
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6.6 - Solving Radical Equations

19. 6.6 - Solving Radical Equations
Your Turn
Solve x2 + 4 = 14
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6.6 - Solving Radical Equations

20. 6.6 - Solving Radical Equations
Example 10
The speed s in miles per hour that a car is traveling when it goes into a skid can be estimated by using the formula s = where f is the coefficient of friction and d is the length of the skid marks in feet. 30 fd
A car skids to a stop on a street with a speed limit of 30 mi/h. The skid marks measure 35 ft, and the coefficient of friction was Was the car speeding? Explain.
Substitute 30 for s and 0.7 for f.
Simplify.
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6.6 - Solving Radical Equations

21. 6.6 - Solving Radical Equations
Example 10
The speed s in miles per hour that a car is traveling when it goes into a skid can be estimated by using the formula s = where f is the coefficient of friction and d is the length of the skid marks in feet.
A car skids to a stop on a street with a speed limit of 30 mi/h. The skid marks measure 35 ft, and the coefficient of friction was Was the car speeding? Explain. 30 fd
Substitute 30 for s and 0.7 for f.
Simplify.
Square both sides.
900 = 21d
Simplify.
43 ≈ d
Solve for d.
If the car were traveling 30 mi/h, its skid marks would have measured about 43 ft. Because the actual skid marks measure less than 43 ft, the car was not speeding.
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6.6 - Solving Radical Equations

22. 6.6 - Solving Radical Equations
Assignment
Worksheet
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6.6 - Solving Radical Equations