Task 07
Task 07¶
deadline: 18/04/2021 23:59 CET
[0.75 points]: Edit the Newton-Raphson’s method so that it can solve systems of three nonlinear equations in three unknowns.
[0.25 points]: Solve the following system of three nonlinear equations in three unknowns,
\[\begin{split}
\begin{align}
& x_0^2 + x_1^2 = 2 x_2, \\
& x_0^2 + x_2^2 = 0.5, \\
& x_0^2 + x_1^2 + x_2^2 = 1,
\end{align}
\end{split}\]
using Newton-Raphson’s method with initial estimate \( (1, 1, 0) \), error tolerance \( 10^{-7} \), and maximum of \( 10 \) iterations. Print the solution.
# add your code here