1 Determine the solution of the simultaneous nonlinear equat

1) Determine the solution of the simultaneous nonlinear equations: x^2 = 5 - y^2 y + 1 = x^2 Newton - Raphson using initial guesses of x=y=1.5.

Solution

x² = 5-y²

y+1 = x²

y+1 = 5-y²

y²+y-4 = 0

y = 1.56155,

x = 1.6004