Bellwork 1) 2) 3) 4) 5) 27 plus some number is 6. What is the number?

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Presentation transcript:

Bellwork 1) 2) 3) 4) 5) 27 plus some number is 6. What is the number?

Lesson 4.7 Complete the Square

Objective Solve quadratic equations by completing the square

Standard 8.0 - Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system. 10.0 - Students graph quadratic functions and determine the maxima

Think/Pair/Share What do you remember about completing the square from Algebra I?

Discussion What are the solutions for a quadratic equation? How do you find them? X-intercepts Set the equation equal to zero and solve for x

Example

If you can’t factor……. You can complete the square

Find C (Vitamin and math) Find a value of c that makes a perfect square trinomial.

Practice

What happens when a≠1? Divide by a and then complete the square

Example

Homework p.288 #1, 2, 9, 11, 19, 21, 27, 31, 61