# False position method Calculator

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

 Select a and b such that f(a) and f(b) have opposite signs, and find the x-intercept of the straight line connected by two points(a,f(a), (b, f(b)).This method converges more rapidly than the Bisection method.

 f(x) a , b f(a)f(b)≦0 maximum repetition n 10 20 50 100 200 500 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal False\ position\ method\\[10](1)\ initial\ value\qquad a_0,\ b_0\hspace{20}f(a_0)f(b_0)\le0\\[10](2)\ x_n={\large\frac{a_nf(b_n)-b_nf(a_n)}{f(b_n)-f(a_n)}}\\\hspace{25}f(x_n)\le\varepsilon\ \Rightarrow\ answer=x_n\\\hspace{25} a_{n+1}=x_n,\ b_{n+1}=b_n\hspace{20}f(a_n)f(x_n)\ge0\\\hspace{25} a_{n+1}=a_n,\ b_{n+1}=x_n\hspace{20}f(b_n)f(x_n)\ge0\\$

False position method
 [1-10] /13 Disp-Num5103050100200
[1]  2019/03/19 03:00   Male / 20 years old level / An engineer / Useful /
Purpose of use
to study
[2]  2019/01/27 15:47   Female / 20 years old level / High-school/ University/ Grad student / A little /
Comment/Request
How to input logx
from Keisan
"log(x)" or "ln(x)"
[3]  2018/11/26 16:50   Male / 30 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
i have an exzame
[4]  2017/11/20 17:34   Male / 20 years old level / High-school/ University/ Grad student / - /
Comment/Request
how do i put inverse for sin,cos,tan
from Keisan
You can put inverse for "sin", "cos" and "tan" as asin(x), acos(x) and atan(x).
[5]  2016/01/22 01:17   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
f(x)=exponent(3.2sinx-0.5cosx) interval: {3;4} accuracy is given 0.001 solve for secant method.
[6]  2015/03/03 10:55   Female / 40 years old level / Self-employed people / Useful /
Purpose of use
learning only
[7]  2015/02/21 22:12   - / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
solve example
[8]  2014/09/26 02:51   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
for study
Comment/Request
good...
[9]  2014/04/22 06:15   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
CONFRMATION OF ANSWER ,, HELPS IN PERP OF PAPER
Comment/Request
NICE
[10]  2013/03/26 00:05   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Assignments
Comment/Request
A very useful site. Thank you for our help! :)

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