Manually, using bi$-$section method, find the root of equation $2$x

$3+$

$4$x $+15=0$ between $2$ and $3.$ Do maximum $4$ iterations and use the final solution to estimate the

residual.

$($b$)$ Make a generic program to estimate the root and final residual $($value of function$)$ of any function

using bisection method. The function estimation for a specific function can be done using a python

sub$-$routine function while the generic bi$-$section method should be implemented in a separate function.

Someone else should be able to use the program by simply writing few lines for evaluating their function

choice $($for which they want the root$)$ without having to do any other major code changes. Keep running

the program till the following condition is satisfied:

$|$xr$,$new $$ xr$,$old$|<=106$

Use this program to find the solution of function described in part a$.$ Use the same initial guess bracket.

You can also verify the solution with python libraries scipy.optimize.root or scipy.optimize.

brentq