For Exercises 41–54, write the equation in the form (x – h + (y – k)' = c. Then if the equation represents a circle, identify the center and radius. If the equation represents a degenerate case, give the solution set. (See Examples 3-4) 41. x + y? - + 6x – 2y + 6 = 0 42. x + y + 12x – 14y + 84 = 0 43. x + y 22x + 6y + 129 = 0 44. x + y? - 10x + 4y – 20 = 0 45. x + y - 20y – 4 = 0 46. x + y + 22x – 4 = 0 47. 10x + 10y² – 80x + 200y + 920 = 0 (Hint: Divide by 10 to make the x and y2 term coefficients equal to 1.) 48. 2x + 2y? 32x + 12y + 90 = 0 49. x + y? – 4x – 18y + 89 = 0 50. x + y - 10x – 22y + 155 = 0 51. 4x? + 4y 20y + 25 = 0 52. 4x + 4y? 12x + 9 = 0 53. x + y - x - 3 3 -y - 54. x + v? 2 = 0 = 0 9. -X - 2 4 3 3

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