5_5 - 5.5 The Quadratic Formula 5.5 THE QUADRATIC FORMULA...

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5.5 The Quadratic Formula Algebra 2 27 5.5 THE QUADRATIC FORMULA Learning Targets: 1. Use the quadratic formula to solve 2 0 ax bx c   . 2. Use projectile motion equation   2 00 16 h t vt h  to find when a projectile hits the ground. 3. Understand the relationship between the solutions to a quadratic equation and the x -intercepts of the parabola. 4. Use the discriminant to determine the number of solutions to an equation. Example 1 : Use completing the square to solve the equation 2 0 ax bx c   . The solution to example 1 is known as the quadratic formula. ___________________________________ Example 2 : Use the quadratic formula to solve the following equations: a) 2 5 14 0 xx  b) 2 14 10  c) 2 3 6 75 The height of a projectile can be modeled by the equation 2 16 h t , where 0 v = initial velocity and 0 h = initial height. If an object is dropped then 0 v = 0. If an object is launched from the ground, 0 h = 0. Example 3 : Wile E. Coyote, once again trying to catch the Road Runner, waits for the nastily speedy bird atop a 900 foot cliff.
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This note was uploaded on 04/11/2011 for the course MATH 1100 taught by Professor Staff during the Spring '08 term at North Texas.

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5_5 - 5.5 The Quadratic Formula 5.5 THE QUADRATIC FORMULA...

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