Warmups Factor. 11-3 Quadratic Formula Objective: To solve a quadratic equation using the quadratic formula.

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Solving Quadratic Equations Lesson 9-3

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Presentation transcript:

Warmups Factor

11-3 Quadratic Formula Objective: To solve a quadratic equation using the quadratic formula.

Solve by factoring  Wait a minute… HOLD UP... We can’t factor this!  Are there roots?  Let’s check with the graph:  Axis of symmetry?  Vertex?  Up or down?

Vocab We solve a QUADRATIC EQUATION to find ax 2 + bx + c = 0 the ROOTS by graphing a x-intercepts. QUADRATIC FUNCTION y = ax 2 + bx + c or using the QUADRATIC FORMULA

What is the Quadratic Formula? x = 2a at 2 am. -b±√(b 2 - 4ac ) A negative Boycouldn’t decide whether or not to go to a radical party. The Boy was square so he couldn’t get four Awesome Chicks. It was all over YOU MUST MEMORIZE THIS!!!

Song time!!!

Example 1 2x 2 + 7x – 15 = 0 a = b = c =

Example 2 3n 2 – 8n – 2 = 0 a = b = c =

Example 3 y 2 – 6y + 9 = 0 a = b = c =

Example 4 3x 2 – x + 3 = 0 a = b = c = No real roots

TOO 1) 5x x = 15 2) 3x 2 – 10x = 0 Answers: 1) {-3,1} 2) {0,10/3}

Homework Page 631 #

Math Lab PRE warm up!!!

Math Lab Warmups Solve using quadratic formula 1) 5x x = 152) 3x 2 – 10x = 0 Answers: 1) {-3,1} 2) {0,10/3}

How to Use your Calculator Forwards Can see everything you type (–) 8 + √ 96 = ÷ (–) 4 = Backwards Can only see one thing at a time 8 +/– + 96 √ = ÷ 4 +/– = -0.45