Question

Find the root of the equation XP-3x + 1 = 0 using Regula falsi method in first
iteration
1.5
1.25
1.35
1.25​

Answer 1

Answer:

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 if f(x0)⋅f(x2)<0 then x1=x2,

else if f(x2)⋅f(x1)<0 then x0=x2.

Step-4: Repeat steps 2 & 3 until f(xi)=0 or |f(xi)|≤Accuracy