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

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Solving Quadratic Equations by Finding Square Roots

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Presentation transcript:

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

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

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

EXAMPLES: Simplify the expressions:

Example 1: Solve

Example 2: Solving a Quadratic Equation Solve:

Homework: Page 267: #19-47 EOO BRING BOOKS TOMORROW IN-CLASS TOMORROW: P # ODD

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

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?

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.