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5-3 Solving Quadratic Equations by finding Square Roots. Objective: Solve quadratic functions by finding square roots.

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Presentation on theme: "5-3 Solving Quadratic Equations by finding Square Roots. Objective: Solve quadratic functions by finding square roots."— Presentation transcript:

1 5-3 Solving Quadratic Equations by finding Square Roots. Objective: Solve quadratic functions by finding square roots.

2 Properties of Square Roots (a > 0, b > 0) Product Property : Quotient Property:

3 A square root expression is considered simplified IF: 2. There is no radical in the denominator. 1. No radicand has a perfect square root factor other than 1

4 EXAMPLES: Simplify the expressions:

5 Example 1: Solve

6 Example 2: Solving a Quadratic Equation Solve:

7 Homework: Page 267: #19-47 EOO BRING BOOKS TOMORROW IN-CLASS TOMORROW: P.267-268 #51- 67 ODD

8 Example 4 When an object is dropped, its speed continually increases, and therefore its height above ground decreases at a faster and faster rate. The height h (in feet) of the object t seconds after it is dropped is modeled by the function Where ho is the initial height

9 The tallest building in the United States is in Chicago. It is 1450 feet tall a) How long would it take a penny to drop from the top of this building?

10

11 b) How fast would the penny be traveling when it hits the ground if the speed is given by s=32t where t is the number of seconds since the penny was dropped.


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