Solution of Equations by Numerical Methods

... Solution of Equations by Numerical Methods Change of Sign Method - Numerical Search By using the computer program 'Omnigraph', I have produced this graph of the equation y = x^3-9x+7. The roots of this equation are shown where the line crosses the X-axis. I can now see that the three roots of this equation lie between (-4,-3), (0,1) and (2,3). Due to the fact that I have only declared the roots to be within wide margins, I will need to use a different method to acquire a more accurate answer. Instead of simply saying "the root is about -3.3", I can use a method called decimal search to find an answer to any degree of accuracy that I decide. Decimal search works by finding two points on the x-axis of a graph, where between, the sign of Y changes, i.e. where the line crosses the x-axis. Without the graph I would be able to

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