Warm-Up Day 6 Solve each of the quadratic functions by graphing and algebraic reasoning: 1. x2 – 3 = 0 2. x2 +5x – 8= 0.

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Presentation transcript:

Warm-Up Day 6 Solve each of the quadratic functions by graphing and algebraic reasoning: 1. x2 – 3 = 0 2. x2 +5x – 8= 0

Unit 2 Day 6 Quadratic Formula

Square Root Method We will use this method to solve a quadratic equation if the case is b = 0. or When this is the case, we solve first for x2 and then square root both sides.

Example Solve: 3x2 – 27 = 0

Try to solve these equations on your own: x2 – 20 = 0 5x2 = 55 6x2 – 42 = 0

Quadratic Formula Quadratic Formula: If , then: Find a, b, and c and plug into the formula. Then simplify. **Make sure you use Order of Operations when simplifying. http://www.youtube.com/watch?v=jGJrH49Z2ZA Add a hyperlink for the bottom

Quadratic Formula The quadratic formula allows you to solve ANY quadratic equation, even if you cannot factor it. An important piece of the quadratic formula is what’s under the radical: b2 – 4ac This piece is called the discriminant. We will talk about the discriminant tomorrow.

#1 Solve using the quadratic formula.

#2 Solve using the quadratic formula

#3 Solve using the quadratic formula

Try to solve these on your own using the quadratic formula: 4. 5. 6.

Ways to Solve Quadratic Equations and When to use each: Factor – Use if you can easily determine the factors Graphing – If you have access to a graphing calculator (Never preferred method anymore!) Solving for x – Use if there is no “b” value Quadratic Formula – ALWAYS works!

3 Methods to Solve We have talked about all three methods to solve a Quadratic Equation. “Three Options to solving Quadratic Equations” Worksheet Pick three problems from each column to solve. Check your solutions.