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Solutions of equations
Member rating: No Rating | Words: | Submitted: Fri Mar 31 2006
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C3 Solutions of equations By Gareth Brown Introduction I will be investigating the solutions of equations using the following three methods: 1. Change of sign method 2. Newton-Raphson method 3. Fixed point iteration after rearranging the equation from form f(x) =0 into the form x = g(x) I will solve the equations with these methods as I cannot solve them by any algebra I have met so far. The equations I am going to use are the following: * y = 243x3-378x2+192x-32 = 0 * y = ex-x3-1.4 = 0 * y = 43x3-60x2-250x-115 = 0 * y = x3-5x+2.6 = 0 In my investigation I will give illustrated examples of the methods failing for the root I am looking for. All failures will be explained. In my investigation I will use a Casio calculator to help draw graphs and to help identify where the rots are. I will also have computer software such as Autograph to help draw graphs and to show certain...
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