Bisection method

Bisection method for solving equation

Example : Using bisection method, find the root of f(x) = xlogx - 1.2= 0.

Enter the equations: x*log10(x)-1.2

Enter first guess: 1

Enter second guess: 3

Enter the number of decimal places: 5

a b c f(c)

1.000000 3.000000 2.000000 -0.597940

2.000000 3.000000 2.500000 -0.205150

2.500000 3.000000 2.750000 0.008165

2.500000 2.750000 2.625000 -0.099786

2.625000 2.750000 2.687500 -0.046126

2.687500 2.750000 2.718750 -0.019059

2.718750 2.750000 2.734375 -0.005466

2.734375 2.750000 2.742188 0.001345

2.734375 2.742188 2.738281 -0.002062

2.738281 2.742188 2.740234 -0.000359

2.740234 2.742188 2.741211 0.000493

2.740234 2.741211 2.740723 0.000067

2.740234 2.740723 2.740479 -0.000146

2.740479 2.740723 2.740601 -0.000040

2.740601 2.740723 2.740662 0.000014

2.740601 2.740662 2.740631 -0.000013

No of iteration : 16

The root is :

2.74064