Sec 9 - Solving for Exact Solutions with the Quadratic Formula

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Presentation transcript:

Sec 9 - Solving for Exact Solutions with the Quadratic Formula Homework: Pg 269 #1-9, 43 *EXACT answers unless there is a word problem where a decimal would make more sense.

General Form of a Quadratic Equation Quadratic Formula

Ex 1: Field Hockey A field hockey player makes a scoop that releases the ball with an upward velocity of 34 ft/sec. The function h = -16t² + 34t models the height of the ball after t seconds. When will the ball reach a height of 15 ft? Think About It: Why would SADMEP not work in this situation?

Ex 2: Solve and Give Exact Solutions 2x² - 1 = 5x 15x² + 2x + 1 = 0 Steps: Put in General Form (must equal 0) Substitute a, b and c into the Quadratic Formula and simplify. Break down the Radical Split into 2 Fractions (if needed) Reduce the fractions (if needed)

Ex 3: Solutions with Complex Numbers

Ex 4: SADMEP or QF How did you know when to use SADMEP and when to use the Quadratic Formula?

HOMEWORK Pg 269 #1-9, 43 *EXACT answers unless there is a word problem where a decimal would make more sense.