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//Secant Method for finding the roots of an equation #include #include #include using namespace std; double f(double x); //declare the.
Working of Muller Method −. Let us assume three distinct initial roots x0, x1 and x2. Now draw a parabola, through the values of function f (x) for the points- x0, x1 and x2. The equation of the parabola, p (x), will be−. P (x )=c+b ( x – x 2)+a ( x – x2)2; where a, b and c are the constants. Now, find the intersection of the parabola.
The program i wrote will find two of the roots but i cant get the third. I know the secant method it sensitive to the interval that you pick so i was thinking that was the problem. But i have tried all different intervals. Heres the code and output.

Secant Method, is a Numerical Technique to find the root of an algebraic or transcendental equation.
The root is approximated by drawing secant lines repeatedly.
A secant line is a line joining two points on a function. Secant method requires two initial guesses(x0 and x1), to draw the first secant line. The root of this line(x2), that is, where this line touches the x-axis, becomes the new point, and now a secant line is drawn between the new point(x2) and one of the last points(x1).
This process is repeated until a root is found upto a certain tolerance.

The method is similar to Bisection Method, in that it requires two initial guesses, but still a lot different, as the guesses don’t require to bracket(enclose) the root. Moreover, unlike Bisection Method, Secant Method may not always converge, so it might be a good idea to have a limit for the maximum iterations to be performed.

So, the program would ask the user to enter two initial guesses:x1 and x2.
Then, it will calculate the new point(x3) using the formula:

PROGRAM (Simple Version):

C Program For Secant Method With Output Data

OUTPUT:

El factor de la atraccion joe vitale pdf. For x^3-27:

C Program For Secant Method With Output

For x*x-4:

PROGRAM (Simple Version):

C Program For Secant Method With Output Data

OUTPUT:

C Program For Secant Method With Output

PROGRAM (USING FUNCTIONS)

OUTPUT:

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