find zeroes using secant line in matlab

main.m
% Define the function to find zeroes of
f = @(x) x^3 - 2*x - 5;

% Set the initial guess values
x0 = 2;
x1 = 3;

% Set the tolerance level and maximum number of iterations
tol = 1e-6;
maxiter = 100;

% Initialize the iteration counter and error
iter = 0;
err = inf;

% Iterate using the secant method until either the desired tolerance 
% level is reached or the maximum number of iterations is exceeded
while err > tol && iter < maxiter
    x2 = x1 - f(x1)*(x1-x0)/(f(x1)-f(x0));
    err = abs(x2-x1);
    x0 = x1;
    x1 = x2;
    iter = iter + 1;
end

% Output the result
if iter == maxiter
    disp('Maximum number of iterations exceeded.');
else
    disp(['Root: ', num2str(x2)]);
end
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