4 Recall that for any quadratic equation of the form ax bx c

Last updated: 4/10/2023

4 Recall that for any quadratic equation of the form ax bx c 0 with a 0 the b b2 4ac quadratic formula gives us that the smaller root is x 2a Consider the quadratic equation 2 x 0 1 123 1 4 3 6 a Compute using the formula above in four digit arithmetic with chopping b Suppose that the true four digit solution is a 0 0054 Compute the relative and absolute error of your above approximation c Now rationalize the numerator of the expression for r Use this new expression to compute for the quadratic equation above again in four digit arithmetic with chopping d Compute the relative and absolute error of this new approximation e Compare the error of these two approximations What in your own words is the source of the increased error in part b