You know from the text that the graph of the equation x2 + y2 = 9 is a circle with center (0, 0) and radius 3. In Exercise, use a graphing utility to investigate what happens when the equation is changed slightly. (As in graphing circles, you’ll first need to solve the given equations for y.)
(a) x2 + 2y2 = 9 (The resulting curve is an ellipse. We’ll study this curve in a later chapter.)
(b) On the same set of axes, graph the ellipse x2 + 2y2 = 9 and the circle x2 + y2 = 9. At which points do the two curves appear to intersect?
(c) Carry out the calculations to verify that the points indicated in part (b) are indeed the exact intersection points.
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