(a) Using a viewing rectangle that extends from −5 to 5 in both the x- and y-directions, graph the equation y = 6x−2 − x−1 − 2. Use the graph to estimate the roots of the equation 6x−2 − x−1 − 2 = 0. How do your estimates compare to the actual values determined in Example 5?
(b) Using the viewing rectangle specified in part (a), graph the equation y = 6x−2 − x−1 + 2. On the basis of the graph, make a statement about the roots of the equation 6x−2 − x−1 + 2 = 0. Then solve the equation algebraically to confirm your statement.
Example 5 Solving an equation of quadratic type
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