... is correct Which is between[1.5,1.6]. I use the same method to keep doing decimal research. to work out a more accurate answer. Take increments in size 0.1 within the interval [1.5,1.6] From the above we can see that must lie between [1.52,1.53].It can be very clear if I use graph. I will do a better research this time by using the same method to prove my result is correct. Now I can find a more accurate result from the research which lies between [1.521,.1522]. Here is a graph to prove the interval is right. However, I will take 4 decimal places to improve the accuracy of the interval. Also I will use the same method again. As we can see the root is between [1.5213,1.5214] Same again. Autograph is used to prove my solution is right. Error bounds This is the process which check how the accuracy of the roots are. From those 4 decimal search I have done so far, I ...

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