39. 2x- 5x-3 = 0; (–1, 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In Exercises 34-43 use the Newton-Raphson method to find an
approximate solution of the given equation in the given
interval. Use the method until successive approximations
obtained by calculator are identical.
34. x +x= 1; (-0, 0) (Hint: Let f (x) = x+x - 1.)
35. x-3x-1 =0; [1, 2] (This equation is related to the study
of inscribing a nine-sided polygon in a circle.)
36. 2x- 5x- 3 = 0; [1, 2]
37. x- 2x 5 = 0; [0, 3] (Newton solved this equation
himself.)
38. x + 4x6 = 2; [0, 1]
39. 2x - 5x – 3 = 0; (–1, 0)
Transcribed Image Text:In Exercises 34-43 use the Newton-Raphson method to find an approximate solution of the given equation in the given interval. Use the method until successive approximations obtained by calculator are identical. 34. x +x= 1; (-0, 0) (Hint: Let f (x) = x+x - 1.) 35. x-3x-1 =0; [1, 2] (This equation is related to the study of inscribing a nine-sided polygon in a circle.) 36. 2x- 5x- 3 = 0; [1, 2] 37. x- 2x 5 = 0; [0, 3] (Newton solved this equation himself.) 38. x + 4x6 = 2; [0, 1] 39. 2x - 5x – 3 = 0; (–1, 0)
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