(4) Recall that for any quadratic equation of the form ax2 bx + c = 0 with a 0, the quadratic formula gives us that the smaller root is: x = 123 Consider the quadratic equation x - 4 1 -x+ = 0. 6 1 3 b-b2-4ac 2a (a) Compute x1, using the formula above, in four-digit arithmetic with chopping. (b) Suppose that the true four digit solution is = 0.0054. Compute the relative and absolute error of your above approximation. (c) Now, rationalize the numerator of the expression for 1. Use this new expression to compute 1 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)?