Exercise 2 [5 + 5 + 5 Points]: The solutions ri and 22 of a quadratic equation ar? + Bar + y = 0 can be found by the equation 112= 3B2-4a7 2a a) Compute the solutions to the quadratic equation with a = 1, 8 = 200, and n = 0.000015 when assuming normalized floating-point representations with a mantissa of k = 10 digits precision and base b = 10 b) Use the theorem from class to predict the number of lost significant bits when executing the problematic subtraction. c) The absolute error is calculated by the magnitude of the difference between the computed solu- tion and the actual solution. Compute the absolute error for the solutions in a). Exercise 2 [5 + 5 + 5 Points]: The solutions ri and 22 of a quadratic equation ar? + Bar + y = 0 can be found by the equation 112= 3B2-4a7 2a a) Compute the solutions to the quadratic equation with a = 1, 8 = 200, and n = 0.000015 when assuming normalized floating-point representations with a mantissa of k = 10 digits precision and base b = 10 b) Use the theorem from class to predict the number of lost significant bits when executing the problematic subtraction. c) The absolute error is calculated by the magnitude of the difference between the computed solu- tion and the actual solution. Compute the absolute error for the solutions in a)