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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) \ No newline at end of file