use min and max to compare the roots for lower and upper limit in matlab

To compare the roots of a quadratic equation in Matlab and find their lower and upper bounds based on their values, we can use the built-in roots function, along with the comparison operators min and max.

Here's an example code snippet to illustrate the process:

main.m
% Define the coefficients of a quadratic equation
a = 1;
b = -4;
c = 4;

% Find the roots of the equation
r = roots([a b c]);

% Find the lower and upper bounds for the roots
lower_bound = min(r);
upper_bound = max(r);

% Display the results
disp('Roots:');
disp(r);
disp(['Lower bound: ' num2str(lower_bound)]);
disp(['Upper bound: ' num2str(upper_bound)]);
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In this example, we define the coefficients of a quadratic equation ax^2 + bx + c, and use the roots function to find its roots. We then use the min and max functions to find the lower and upper bounds for the roots, respectively. Finally, we display the results using disp.