Question

f(x)=x3-5x-1 secant method​

Answer 1

Answer:

ample-1 f(x)=x3-x-1

Algorithm

Secant method Steps (Rule)

Step-1: Find points x0 and x1 such that x0<x1 and f(x0)⋅f(x1)<0.

Step-2: find next value using

Formula-1 : x2=x0-f(x0)⋅

x1-x0

f(x1)-f(x0)

or Formula-2 : x2=

x0⋅f(x1)-x1⋅f(x0)

f(x1)-f(x0)

or Formula-3 : x2=x1-f(x1)⋅

x1-x0

f(x1)-f(x0)

(Using any of the formula, you will get same x2 value)

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

Example-1

Find a root of an equation f(x)=x3-x-1 using Secant method

Solution:

Answer 2

Answer:

• xएक्स क्यूब माइनस 5 एक्स प्लस 1 इक्वल टू जीरो