Let be the following system of non$-$linear equations:

$2x_1^2-4x_1{x}_2-x_2^2=0$

$10x_2^2+10x_1-4x_1{x}_2-x_1^2-5=0$

a$)$ Write the Jacobian matrix

b$)$ What do you suggest as the value of $x_1^0,x_2^0$

c$)$ Solve the system of non$-$linear equations using $5$ iterations $($with python$)$