 Given a quadratic equation in standard form, the value of x can be found by using the quadratic formula:

 1)  2)  3)  4)  5)

 6)

1)Disc > 0 (positive) - 2 real roots

 2) Disc = 0, 1 real repeating root

 3) Disc < 0 (negative), 2 imaginary roots

 Ex: Determine the type and number of solutions to the equation:  1)  2)  3)

 Ex: A football is thrown with a speed of 34 ft/s. The function models the height of the ball at any time, t. When will the ball reach a height of 20 ft? What about a height of 15 ft?

 Solve the following quadratic equations:  1)  2)  3)  4)

 5)  6)  7)

 The lengths of the sides of a right triangle are 3 consecutive integers. Find the area of the triangle.  Solve:

 A baseball is hit and follows the trajectory given by  1) How high off the ground was the ball hit?  2) How long will it take for the ball to land?  3) How long does it take for the ball to reach its maximum height?  4) What is its maximum height?  5) At what time(s) will it be 14 feet up?