Coursework.Info - Inspiration in an Instant

On the left is an image preview of every page of this document, and below are the first 150 words with formatting removed:

Change of sign method In order to find the roots of an equation that cannot be solved algebraically, I can use numerical methods to do this instead. One of these methods is the change of sign method. From looking at a graph of my equation I can find two integers that my root lies between, then from there, using spreadsheets, I can use the change of sign method to discover where the root lies to five decimal places. I have chosen to try to solve the equation: 5x3-7x+1=0 First, I drew the graph of y=5x3-7x+1 in autograph to find where the roots roughly lie by looking where the graph cuts the x-axis. From this graph I can see that there are three roots, in the intervals [-2, -1], [0, 1] and [1, 2]. Looking at the root in the interval [1, 2], we bisect this interval and find the midpoint, 1.5. f(1.5) =...

To see the full version of this document, and 145,348 others