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4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x² + 2x – 12 = 0 28. x² + 6x + 8 = 0

4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x² + 2x – 12 = 0 28. x² + 6x + 8 = 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 41PPS
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answer #28. not graded. examine the problem and answer it as the instructions say.

Example 1 Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary. 14. x2 + 4x + 4 = 10 15. x2 – 6x + 9 = 20 16. x? + 8x + 16 = 18 17. x? + 10x + 25 = 7 18. x? + 12x + 36 = 5 19. x? – 2r +1= 4 22. x2 + 32x + 256 = 1 25. x? – 9x + = 20. x2 – 5x + 6.25 = 4 21. x2 –15x + 56.25 = 8 23. x? – 3x + = 6 24. x² + 7x + = 4 Examples 2-4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x2 + 2x – 12 = 0 30. 2x2 + x – 3 = 0 28. x? + 6x + 8 = 0 31. 2x? – 3x + 5 = 0 34. x2 – 2x + 3 = 0 29. x? – 4x + 3 = 0 33 3х2 — бх — 9 %3D0 36. x2 – 6x + 18 = 0 32. 2r? + 5x + 7 = 0 35. x? + 4x + 11 = 0 38. 3x² – 4x = 2 37. x2 – 10x + 29 = 0 39. 2x? – 7x = -12 40. x2 – 2.4x = 2.2 42. x? --=0 43. x² – - = 0 41. x² – 5.3x = -8.6 Example 5 Write each function in vertex form. Identify the vertex. 44. y = x + 10x + 17 46. y = 2r² – 4x + 5 45. y = x – 22x + 125 47. y = -8x – 64x – 146
Transcribed Image Text:Example 1 Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary. 14. x2 + 4x + 4 = 10 15. x2 – 6x + 9 = 20 16. x? + 8x + 16 = 18 17. x? + 10x + 25 = 7 18. x? + 12x + 36 = 5 19. x? – 2r +1= 4 22. x2 + 32x + 256 = 1 25. x? – 9x + = 20. x2 – 5x + 6.25 = 4 21. x2 –15x + 56.25 = 8 23. x? – 3x + = 6 24. x² + 7x + = 4 Examples 2-4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x2 + 2x – 12 = 0 30. 2x2 + x – 3 = 0 28. x? + 6x + 8 = 0 31. 2x? – 3x + 5 = 0 34. x2 – 2x + 3 = 0 29. x? – 4x + 3 = 0 33 3х2 — бх — 9 %3D0 36. x2 – 6x + 18 = 0 32. 2r? + 5x + 7 = 0 35. x? + 4x + 11 = 0 38. 3x² – 4x = 2 37. x2 – 10x + 29 = 0 39. 2x? – 7x = -12 40. x2 – 2.4x = 2.2 42. x? --=0 43. x² – - = 0 41. x² – 5.3x = -8.6 Example 5 Write each function in vertex form. Identify the vertex. 44. y = x + 10x + 17 46. y = 2r² – 4x + 5 45. y = x – 22x + 125 47. y = -8x – 64x – 146
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