# Bisection method Calculator

## Calculates the root of the given equation f(x)=0 using Bisection method.

 Select a and b such that f(a) and f(b) have opposite signs. The convergence to the root is slow, but is assured.This method is suitable for finding the initial values of the Newton and Halley’s methods.

 f(x) a ,bf(a)f(b)≦0 maximum repetition n102050100200500 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Bisection\ method\\[10](1)\ initial\ value\qquad a_0,\ b_0\hspace{20}f(a_0)f(b_0)\le0\\(2)\ x_n={\large\frac{a_n+b_n}{2}}\\\hspace{25}f(x_n)\le\varepsilon\ \Rightarrow\ answer=x_n\\\hspace{25} a_{n+1}=x_n,\ b_{n+1}=b_n\hspace{20}f(a_n)f(x_n)\ge0\\\hspace{25} a_{n+1}=a_n,\ b_{n+1}=x_n\hspace{20}f(b_n)f(x_n)\ge0\\$

Bisection method
 [1-10] /48 Disp-Num5103050100200
[1]  2019/02/21 23:51   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
assignment
Bug report
not working for trignometric
[2]  2018/12/02 03:25   Male / 50 years old level / High-school/ University/ Grad student / Useful /
Bug report
i put 2xcos2x +(x+1)^2=0 solve by bisection method [-3,-2] it is not taking
from Keisan
Please input the formula as below.

2*x*cos(2*x)+(x+1)^2
[3]  2018/12/02 03:19   Male / 50 years old level / A teacher / A researcher / Very /
Purpose of use
teaching
Comment/Request
very useful I have one question how to solve 2xcos2x + (x+1)^2=0 by bisection method
[4]  2018/10/29 21:55   Male / 20 years old level / High-school/ University/ Grad student / Not at All /
Comment/Request
i have put a function √x-cos⁡x and value of a and b (0,1) but still iam unable to get the solution
from Keisan
"sqrt(x)-cos(x)" in
f(x).
[5]  2018/10/06 05:59   Female / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Studying
[6]  2018/04/27 13:00   Male / 20 years old level / High-school/ University/ Grad student / A little /
Purpose of use
Double checking work against multiple online calculators.
Comment/Request
:)
[7]  2018/03/25 20:55   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Assignment
[8]  2018/03/21 22:37   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
To check my homework
Comment/Request
how to designate the superscript like as if we have 3.61111×10−8T 3 − 6.95238×10−5T 2 + 0.0805437T − 0.3 =0 if we have such kind of questions in Bisection method
[9]  2018/03/18 18:03   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
[10]  2018/02/21 22:44   Female / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
writing a report of the method

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