Incremental Search

Using Engineering Paper and Pencil, find the root of the following equation:

$f(x)=-2\mathrm{.}01x^2-6\mathrm{.}95x+8\mathrm{.}02=0$

Begin with $x_1=0\mathrm{.}1$ and $x=0\mathrm{.}5.$ As needed, divide the magnitude of $x$ by $10.$

Use $|f(x_i)|0\mathrm{.}1$ as the convergence criterion.

Hint: It helps to maintain a table of iterations.

$\backslash$table$[[$Iteration Table$],[$Iter#$,,f(),dx$