Using the Newton$-$Rapshon method, solve the following nonlinear equation in three iterations. Use the approximation error tolerance value $$a $<10^-4$ as the termination criterion. Create a simple program using Matlab, how many iterations does your program need to get a solution to the nonlinear equation? Compare the results of the program you created with the results of the Matlab fzero function solution.

$4$u$^2+2$v $=4$

u $+2$v$^2+2$w $=4$

v $+2$w$^2=4$

please do not use an AI for this thank you.