Section 11 1 Solving Quadratic Equations by Square
Section 11. 1 Solving Quadratic Equations by Square Root Method and Completing the Square Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 1
Square Root Property We previously have used factoring to solve quadratic equations. This chapter will introduce additional methods for solving quadratic equations. Square Root Property If b is a real number and a 2 = b, then Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 2
Examples a. Solve: x 2 = 49 b. Solve: 2 x 2 = 4 Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 3
Example Solve: (y – 3)2 = 4 Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 4
Example Solve (x + 2)2 = 25. Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 5
Example Solve (3 x – 17)2 = 28. Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 6
Completing the Square Method Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 7
Example Solve by completing the square. y 2 + 6 y = 8 Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 8
Example Solve by completing the square. y 2 + y – 7 = 0 Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 9
Example Solve by completing the square. 2 x 2 + 14 x – 1 = 0 Copyright © 2017, 2013, 2009 Pearson Education, Inc. Slide 10
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