Use Broyden's method to approximate solutions to the following nonlinear systems. Iterate until || x(k) x(k1)

Question:

Use Broyden's method to approximate solutions to the following nonlinear systems. Iterate until || x(k) − x(k−1) || ∞ < 10−6.
a. x1(1 − x1) + 4x2 = 12,
(x1 − 2)2 + (2x2 − 3)2 = 25.
b. 5x21 − x22 = 0,
x2 − 0.25 (sin x1 + cos x2) = 0.
c.

d.