Using the Newton$-$Raphson method, determine the algorithm equation in order to solve for the solution to the equation $x{e}^2=5$

A$.x_{n+1}=\frac{x_n{e}^{x_n}-5}{(x_{n+1})e^{x_n}}$

B$.x_{n+1}=\frac{x_n{e}^{x_n}+5}{(x_{n+1})e^{x_n}}$

C$.x_{n+1}=\frac{(x_{n+1})e^{x_n}}{x_n{e}^{x_n}-5}$

D$.x_{n+1}=\frac{(x_{n+1})e^{x_n}}{x_n{e}^{x_n}+5}$