Write a quadratic equation solver. Your MATLAB script should get a,b, c as input, and accurately compute the roots of the corresponding quadratic equation. Make sure to check end cases such as a = 0, and consider ways to avoid an overflow and cancellation errors. Implement your algorithm and demonstrate its performance on a few cases (for example, the cases mentioned in Exercise 15). Show that your algorithm produces better results than the standard formula for computing roots of a quadratic equation.