Question: The nonlinear equation f(x) = x x x 1 = 0 has one real root: 1+ V19 3/33 + 19 +3/33 ); Xreal 3 the

 The nonlinear equation f(x) = x x x 1 = 0

The nonlinear equation f(x) = x x x 1 = 0 has one real root: 1+ V19 3/33 + 19 +3/33 ); Xreal 3 the other two roots are complex. (a) Write a MATLAB .m function named bisection.m that computes a real root for any non- = 0 in the interval [a, b] within numerical tolerance e. Your linear equation of the form f (x) MATLAB function should take the user inputs: a, b, f, and return an approximation for the It is a good practice to pass an additional input for maximum number of iterations. root X'approx: (b) Write another MATLAB script that calls your MAT- LAB function bisection.m to approximate xreal given above within numerical tolerance = 10-4 You need to design an appropriate interval [a, b] for this case

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