P$5.$ Now write a PYTHON function to implement the secant method as shown:

def secant$($func$,x0,x1,$ es$)$:

where $x0,x1$ are the two starting points.

a$)$ Use the function to find roots of $f(x)=x^4+65x^3+86x+128,$ accurate up to $4$ significant digits. Report

their values.

b$)$ Again make a plot of the above function to and mark all the roots.

c$)$ Verify your solutions using the in$-$built PYTHON function roots, which is available in numpy.

P$6.$ Utilizing the above functions, find the shortest distance between the curve $y=x^2+1$ and the point $(1,0).$

Report the shortest distance. Which method converges faster, the false position or the secant method $?($report

the number of iterations in both cases$).$