![]() Since it match the condition and the rearrangement method can be used here. Using a calculator, When x = 1.75, CASE 1 g/(X) = 1.9182 (> 1), therefore I can't use this case as it will lead me to the failure of basis iteration. NEWTON-RAPHSON METHOD ***Shown in NEWTON-RAPHSON METHOD SECTION, REARRANGEMENT METHOD The two possibilities of the equation are: CASE 1: CASE 2: Test each case whether rearrangement method can be apply here by substituting each x in CASE 1 and X in case 2 with the interval of which is 1.75. Then come a few more steps in another table. ![]() read more.ĮQUATION USED:, the required root is at DECIMAL SEARCH A Table has been imported from Microsoft Excel producing the result of the changing of sign method. EQUATION USED: = 0 has only 1 roots in From Graphmatica: Results obtained from Microsoft Excel: X-value F(X). The positive value and negative values of the y-value has to be observed. It is to find the roots of an equation that crosses the x-axis. Description 2 Change of Sign Method and its Failure 8 Newton-Raphson Method and its Failure 12 Rearrangement Method and its Failure 17 Comparison made onto one roots of an equation with the 3 Methods above 22 Ease of use and Availability of Hardware and Software used, e.g.: * T1 Calculator * Graphmatica or Autograph * Microsoft Excel * Microsoft Word 24 Appendix A CHANGE OF SIGN METHOD I choose to use Decimal Search, as it is the easiest of all methods through the use of Microsoft Excel. In P2, we learned that there are two types of Numerical Method: * Change of Sign Method o Decimal Search o Interval Bisection o Linear Interpolation * Fixed Point Iteration o Newton-Raphson Method o Rearrangement Method About Coursework Things have to do for Coursework: * One kind of Change of Sign Method * Newton-Raphson Method * Rearrangement Method * Failures of each methods * Error Bound of each methods * Comparison made with the three methods above and * Ease of use and Availability of Hardware and Software to do coursework. Therefore NUMERICAL METHOD is developed to help to solve polynomial equations. Moreover, some roots of polynomial equations may be not Integer or Large numbers, which make things harder. ![]() ![]() However, for polynomial equations, that have highest power more than 2, has to be solved through Trial and Error, which is very hard and tedious to determine their roots. Quadratic equations in the format of can be solved by Quadratic Formula. Wolfram Language & System Documentation Center.NUMERICAL METHOD INTRODUCTION It is very useful to use Numerical Method to find the roots of an equation that cannot be solved ALGEBRAICALLY. "CubeRoot." Wolfram Language & System Documentation Center. Wolfram Research (2012), CubeRoot, Wolfram Language function, (updated 2020). Cite this as: Wolfram Research (2012), CubeRoot, Wolfram Language function, (updated 2020). ![]()
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