x^3 - 8x - 5= 0, Find a root of the equation by using Secant method.
please solve this.
Answers
Step-by-step explanation:
. Secant method example ( Enter your problem )( Enter your problem )
Algorithm & Example-1 f(x)=x3-x-1
Example-2 f(x)=2x3-2x-5
Example-3 f(x)=
√
12
Example-4 f(x)=cube48
√
Other related methods
Bisection method
False Position method (regula falsi method)
Newton Raphson method
Iteration method
Secant method
Muller method
4. Iteration method
(Previous method) 2. Example-2 f(x)=2x3-2x-5
(Next example)
1. Algorithm & Example-1 f(x)=x3-x-1
Algorithm
False Position method (regula falsi method) Steps (Rule)
Step-1: Find points x0 and x1 such that x0<x1 and f(x0)⋅f(x1)<0.
Step-2: Take the interval [x0,x1] and
find next value x2=x0-f(x0)⋅
x1-x0
f(x1)-f(x0)
Step-3: If f(x2)=0 then x2 is an exact root,
else x0=x1 and x1=x2
Step-4: Repeat steps 2 & 3 until f(xi)=0 or |f(xi)|≤Accuracy