I need help revising this. Not sure what it's called and would love help on solving and naming what it is so that i can google/youtube about it and start revising (hopefully).
Consider the equation x3 - 3x2 + 2 = 0.
- By presenting a suitable graph, state how many real solutions there are to this equation, and define them very roughly from the graph (to about 1 dp).
- Perform 5 iterations of the Newton-Raphson method by hand, to find the solution of the above equation x3 - 3x2 + 2 = 0 starting from the point x0. Complete the following table, using 4 decimal places of accuracy for each entry in the table.
(n) iterations xn f(xn) (df(xn)) / dx ( |xn - xn-1 | ) / xn 0 2.5 1 2 3 4 5