3. (By hand) One common instance where subtractive cancellation occurs involves finding the roots of a quadratic equaon a2 bc 0: 2a For cases where b 4ac, the difference in the numerator can be very small and roundoff errors can occur. In such cases, an alternative formulation can be used to minimize subtractive cancellation: -2c Assume a1, b 50.02, c 10. Solve the quadratic equation following the instruc- tions: (a) Use a calculator or computer to compute the roots of the equation with the normal quadratic formula. Write down the results with at least 8 significant digits. Assume these are the true roots 3. (By hand) One common instance where subtractive cancellation occurs involves finding the roots of a quadratic equaon a2 bc 0: 2a For cases where b 4ac, the difference in the numerator can be very small and roundoff errors can occur. In such cases, an alternative formulation can be used to minimize subtractive cancellation: -2c Assume a1, b 50.02, c 10. Solve the quadratic equation following the instruc- tions: (a) Use a calculator or computer to compute the roots of the equation with the normal quadratic formula. Write down the results with at least 8 significant digits. Assume these are the true roots