Question

Write a c program to find the roots of a quadratic equation using bisection method

Answer 1

Answer:

#include<bits/stdc++.h>  

using namespace std;  

#define EPSILON 0.01  

 

// An example function whose solution is determined using  

// Bisection Method. The function is x^3 - x^2  + 2  

double func(double x)  

{  

   return x*x*x - x*x + 2;  

}  

 

// Prints root of func(x) with error of EPSILON  

void bisection(double a, double b)  

{  

   if (func(a) * func(b) >= 0)  

   {  

       cout << "You have not assumed right a and b\n";  

       return;  

   }  

 

   double c = a;  

   while ((b-a) >= EPSILON)  

   {  

       // Find middle point  

       c = (a+b)/2;  

 

       // Check if middle point is root  

       if (func(c) == 0.0)  

           break;  

 

       // Decide the side to repeat the steps  

       else if (func(c)*func(a) < 0)  

           b = c;  

       else

           a = c;  

   }  

   cout << "The value of root is : " << c;  

}  

 

// Driver program to test above function  

int main()  

{  

   // Initial values assumed  

   double a =-200, b = 300;  

   bisection(a, b);  

   return 0;  

}