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Chapter 6-8 Solving Equations by Factoring

Chapter 6-8 Solving Equations by Factoring. CA 14.0 Solve a quadratic equation by factoring By: Emily Ong. Example: Textbook Page 290 Problem: 61. b (b+9)=4(5+2b) b²+9b = 20+8b -8b -20 = -20 -8b b²+b-20=0 ( b+5)(b-4)=0 (b+5)= 0 (b-4)=0 -5 -5 + 4 +4 b=-5 b= 4

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Chapter 6-8 Solving Equations by Factoring

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  1. Chapter 6-8Solving Equations by Factoring CA 14.0 Solve a quadratic equation by factoring By: Emily Ong

  2. Example: Textbook Page 290 Problem: 61 • b(b+9)=4(5+2b) • b²+9b = 20+8b • -8b-20=-20-8b • b²+b-20=0 • (b+5)(b-4)=0 (b+5)=0 (b-4)=0 -5-5+4+4 b=-5 b=4 b=-5,4 • Distribute the “b” and the “4” • Put all of numbers on one side • Set it to zero • Factor • Solve the two equations separately -20 5 -4 1

  3. Example: Workbook Page 25 Problem: 24 • Factor • Solve the two • equations separately • y2-11y +28=0 • (y-4)(y-7)=0 (y-4)=0 (y-7)=0 +4+4+7+7 y= 4,7 28 -4 -7 -11

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