Presentation on theme: "Sec 9 - Solving for Exact Solutions with the Quadratic Formula"— Presentation transcript:
1Sec 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.
2General Form of a Quadratic Equation Quadratic Formula
3Ex 1: Field HockeyA 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?
4Ex 2: Solve and Give Exact Solutions 2x² - 1 = 5x15x² + 2x + 1 = 0Steps:Put in General Form (must equal 0)Substitute a, b and c into the Quadratic Formula and simplify.Break down the RadicalSplit into 2 Fractions (if needed)Reduce the fractions (if needed)