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Notes 26 The Quadratic Formula Objectives: Solve quadratic equations using the Quadratic Formula Classify roots using the discriminant Who uses this? Firefighting pilots can use the Quadratic Formula to estimate when to release water on a fire. 1 2 Ex. Find the zeros by using the Quadratic Formula 3 Try These: Ex. Find the zeros of each function by using the Quadratic Formula a. b. 4 Ex. Find the zeros of each function by using the Quadratic Formula. 5 Try These: Ex. Find the zeros of each function by using the Quadratic Formula 6 The discriminant is part of the quadratic formula that you can use to determine the number of real roots of a quadratic equation. 7 Ex. Find the type and number of solutions for each equation. a. b. c. 8 Try These: Ex. Find the type and number of solutions for each equation. a. b. c. 9 Ex. The pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of the water t seconds after its release is modeld by y = 16t2 2t + 500. The horizontal distance x in feet between the water and its point of release is modeled by x = 91t. At what horizontal distance from the fire should the pilot start releasing the water in order to hit the target? 10 Chart on Pg. 104 11