Using Newton method to find value of x1 and y1

I have to run one iteration using Newton's method to find the values of (x1,y1) with initial guesses (x0,y0) but i am not sure how to write the code for Newton's method. These are the codes i have so far;

syms x y

f=1/8*(sqrt(10000+x^2))+1/5*(sqrt(10000+y^2))+1/2*(sqrt(x^2+y^2+2*x*y-200*x-200*y+20000))

x0 = 70

y0 = 25

I hope i could get some help here with the Newton's method code. Thank you so much in advance.

Answer 1

[Shadaab Siddiqie]

From my understanding you want to solve above equation using Newton's method. Here is an similar question which you can follow to solve it.