Solving Equations Graphically Solve the equation grahically in the given interval. State each answer rounded to two decimals. x3−6x2+11x−6=0. [−1, 4]

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Solving Equations Graphically Solve the equation grahically in the given interval. State each answer rounded to two decimals. x3−6x2+11x−6=0. [−1, 4]

sovienesY · Accepted Answer

Step 1  Consider x3−6x2+11x−6=0  We are asked to find all solutions x that satisfy −1≤ x≤4, so we can use a graphing calculator to graph the equation in a viewing rectangle for which the x-values are restricted to this interval.  Step 2  The graph of x3−6x2+11x−6=0 in the interval [−1, 4] is shown below.    From the graph, we see that there are three x-intercepts in the viewing rectangle.  The solutions are x=1, x=2, x=3  Final statement:  Therefore the solutions of the equation x3−6x2+11x−6=0 in the interval [−1 4] are x=1, x=2, x=3.

Solve the equation grahically in the given interval x^3-6x^2+11x-6=0. [-1, 4]

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