Download Notes 26 The Quadratic Formula

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
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Ex. Find the zeros by using the Quadratic Formula
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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.
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Try These:
Ex. Find the zeros of each function by using the Quadratic Formula
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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?
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Chart on Pg. 104
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