Question: Determine the roots of the following simultaneous nonlinear equations using (a) Fixed-point iteration and (b) The Newton-Raphson method: y' = x2 + x +

Determine the roots of the following simultaneous nonlinear equations using

(a) Fixed-point iteration and

(b) The Newton-Raphson method:

y' = – x2 + x + 0.75

y + 5xy = x2

Employ initial guesses of x = y = 1.2 and discuss the results.


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