in addition to demonstrating its power for a single computation,the present design problem also illustrates how the Newton-Raphson method is especially attractive when numerous computations are required.Because of the speed of digital computers,the efficiency of various numerical methods for most roots of equations is indistinguishable for a single computation.
Even a 1-s difference between the crude bisection approach and the efficient Newton-raphson does not amount to a significant time loss when only one computation is performed.