(a) On the same set of axes, graph the equations Use the same viewing rectangle tha...

(a) On the same set of axes, graph the equations Use the same viewing rectangle that is shown in Figure 2(a) in the text. Check that your graphs are consistent with those drawn in Figure 2(a). The graphs show that the line y = 0.8 intersects the curve at a point with an x-coordinate very close to 2.5. In other words, one of the roots of the equation is approximately 2.5.

(b) Take a closer look at the intersection point using the same viewing rectangle that is shown in Figure 2(b) in

the text. As is pointed out in the text, this view shows that the root we are looking for is actually slightly larger than 2.5; it lies in the open interval (2.5, 2.55). Thus, the first decimal place of the root must indeed be 5, and the second decimal place must be a digit between 0 and 4, inclusive. Continue to zoom in on this intersection point until you are sure of the first three decimal places of the root.

(c) Use the quadratic formula to find an expression for the exact value of the root in part (b). Then evaluate the expression and round to four decimal places. Check that your answer is consistent with the result obtained graphically in part (b).