Consider the nonlinear system

$x_1^2-x_2^2+2x_2=5$

$x_1^2+2x_1+x_2=2$

When the tolerance value is ${10}^{-9},$ the maximum number of iterations is $100,$ and the initial guess is $0=[1\mathrm{.}5$;$0\mathrm{.}5],$ find the number of iterations made by the Matlab program to solve the system using the Newton's method.