Question

Problem 2: Using the initial guesses of x1,0 = x2,0 = 1.2, perform two iterations of the generalized form of the Newton-Raphson method to solve for x1 and x2 in

the simultaneous system of nonlinear equations below: \begin{array}{l} x_{2}=-x_{1}^{2}+x_{1}+0.5 \\ x_{2}+5 x_{1} x_{2}=x_{1}^{2} \end{array} Calculate the approximate relative percent error, Ea, for each unknown during each iteration. Place boxes around root estimates and ɛa's. Show all your steps.

Fig: 1

Fig: 2

Fig: 3

Fig: 4