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(a) Show that the equation x² + 2x - 14 = 0 can be rearranged into the form x = 14- 2x. With Xo = 2 use simple iteration to find a root of the equation.

(a) Show that the equation x² + 2x - 14 = 0 can be rearranged into the form x = 14- 2x. With Xo = 2 use simple iteration to find a root of the equation.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Show that the equation x² + 2x - 14 = 0 can be 14 - 2x. With rearranged into the form x = Xo = 2 use simple iteration to find a root of the equation. (b) Rearrange the equation 0.8 sinx-0.5x = 0 into the form x = g(x). With xo = 2 use simple iteration to find a root of the equation. (c) Rearrange the equation x³ = 2e into the form x = g(x). With xo = 0 use simple iteration to find a root of the equation.
Transcribed Image Text:(a) Show that the equation x² + 2x - 14 = 0 can be 14 - 2x. With rearranged into the form x = Xo = 2 use simple iteration to find a root of the equation. (b) Rearrange the equation 0.8 sinx-0.5x = 0 into the form x = g(x). With xo = 2 use simple iteration to find a root of the equation. (c) Rearrange the equation x³ = 2e into the form x = g(x). With xo = 0 use simple iteration to find a root of the equation.
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