B$.$ Write a Fortran program to consider the function $f(x)=5x^2-\sqrt[\phantom{2}]{3}x.$ This function has a

root at $x=0.$ Does it have another root? Select an initial root estimate of $x=1$ and

determine how many steps the Newton's Rule program takes to converge for a

convergence criterion of $0\mathrm{.}01.$ Change the convergence criterion to $0\mathrm{.}001$ and $0\mathrm{.}0001$ and

determine the number of steps for these cases. Attach a screenshot of the code and the

results from running the code.