... the x-axis. Then you take that as your range and divide it up into 10 equal segments. For example, if between 1 and 2.. you use 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, etc. you work out the formula for each of these and where the change of sign occurs you repeat the process between that range. A B C D E E 1 X1 f(A1) A2+0.01 f(C1) C1+0.001 f(C1) 2 A1+0.1 f(A2) C1+0.01 f(C2) E1+0.001 f(C2) 3 A2+0.1 f(A3) C2+0.01 f(C3) E2+0.001 f(C3) 4 A3+0.1 f(A4) C3+0.01 f(C4) E3+0.001 f(C4) 5 This process carries on to the required accuracy and this is how we try to find the root of an equation, using omnigraph and excel. Example I'm going to use the change of sign method to investigate when the method works and when it doesn't. The equation I am going to find the root of is f(X)= x5+4x4-6x which looks like this. As shown above there are 3 roots one which is at 0 and the others between -5 and -4, 1 and 2. I'm going to find the root which lies between 1 and 2. To find this ...

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