CHAPTER_ppt_11_1 - Chapter 11 Quadratic Equations and...

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Unformatted text preview: Chapter 11 Quadratic Equations and Functions § 11.1 Solving Quadratic Equations by Completing the Square Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 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 . a b = ± Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 Solve x 2 = 49 2 ± = x Solve ( y – 3) 2 = 4 Solve 2 x 2 = 4 x 2 = 2 7 49 ± = ± = x y = 3 ± 2 y = 1 or 5 2 4 3 ± = ± =- y Square Root Property Example: Martin-Gay, Beginning and Intermediate Algebra, 4ed 5 Solve x 2 + 4 = 0 Square Root Property Example: 4 x = ±- 2 x i = ± 2 4 x = - Martin-Gay, Beginning and Intermediate Algebra, 4ed 6 Solve ( x + 2) 2 = 25 x = - 2 ± 5 x = - 2 + 5 or x = - 2 – 5 x = 3 or x = - 7 5 25 2 ± = ± = + x Square Root Property Example: Martin-Gay, Beginning and Intermediate Algebra, 4ed 7 Solve (3 x – 17) 2 = 28 7 2 17 3 ± = x 3 7 2 17 ± = x 7 2 28 ± = ± 3 x – 17 = Square Root Property Example: Martin-Gay,...
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CHAPTER_ppt_11_1 - Chapter 11 Quadratic Equations and...

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