There is a number $$x$$ such that when entered in the following equations, equals it output, $$x$\_$final.$$ Using while loops and conditional statements, write a code that: a$.$ Takes an initial guess value for $$x$,$ b$.$ Solves for $$x$\_$final$,$ c$.$ Compares the error between x and x$\_$final d$.$ Adjusts $$x$$ the appropriate direction e$.$ Repeat step b$-$e until $$x$$ and $$x$\_$final$$ converge to within $\backslash$pm $\mathrm{.}05$