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Finding one root of an equation by a change of sign method, to 4 figures.
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Finding one root of an equation by a change of sign method, to 4 figures Using the bisection method, I am going to find one root for the equation , the graph of which is shown below, where one division on the x-axis represents 1, and one division on the y-axis represents 14. From the graph it can be seen that there is a root between 1 and 2, it is this root that I will try to find using the bisection method: In the spreadsheet above, n is the iteration number. an is the lower bound, bn is the upper bound, and xn the bisection of the interval [1,2] and f(xn) is the value of y, for that particular value for x. If y> 0 then an remains the same, and the last value of xn becomes bn. If however, y <0 then bn remains the same, and an...
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