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// The equation x^3-7*x^2+16*x-12==0 has real roots.
// the graph of this function can be observed here.
xset('window',25);
x=0:.001:4; // defining the range of x.
deff('[y]=f(x)','y=x^3-7*x^2+16*x-12'); //defining the cunction.
deff('[y]=fp(x)','y=3*x^2-14*x+16');
y=feval(x,f);
a=gca();
a.y_location = "origin";
a.x_location = "origin";
plot(x,y) // instruction to plot the graph
title(' y = x^3-7*x^2+16*x-12')
// given that the equation has double roots at x=2 hence m=2;
m=2;
// solution by newton raphson method
newton(1,f,fp) // calling the user defined function
//solution by modified newton raphsons mathod
modified_newton(1,f,fp)
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