Modify the given Program so that it will calculate all possible roots of quadrat

Question

Modify the given Program so that it will calculate all possible roots of quadratic equation(include Imaginary number)

#include<iostream.h>

#include<math.h>

//this program solves for the roots of a quadratic equation

int main()

{

double a, b, c, disc, root1, root2;

cout<< "this program calculates the roots of a ";

cout<< " quadratic equation of the form ";

cout<< " 2/n";

cout<< " ax+bx+c=0 ";

cout<< "please enter values for a, b, and c: ";

cin>> a >> b>> c;

if ( a ==0.0 && b == 0.0)

cout<< "The equation is degenerate and has no roots. ";

else if (a==0.0)

cout << "The equation has the single root x = "

<< -c/b << endl

else

{

disc = pow(b,2.0) - 4*a*c; //calculate discriminant

if (disc> 0.0)

{

disc = sqrt(disc);

root1=(-b+disc)/(2*a);

root2=(-b-disc)/(2*a);

cout<< "The two real roots are"

<< root1 << "and" << root2 << endl;

}

else if (disc<0.0)

cout<< "Both roots are imaginary. ";

else

cout<<"Both roots are equal to " <<-b/(2*a)<<endl;

}

return 0;

}

Explanation / Answer

#include<iostream>

#include<math.h>

using namespace std;

//this program solves for the roots of a quadratic equation

int main()

{

double a, b, c, disc, root1, root2;

cout<< "this program calculates the roots of a ";

cout<< " quadratic equation of the form ";

cout<< " 2/n";

cout<< " ax+bx+c=0 ";

cout<< "please enter values for a, b, and c: ";

cin>> a >> b>> c;

if ( a ==0.0 && b == 0.0)

cout<< "The equation is degenerate and has no roots. ";

else if (a==0.0)

cout << "The equation has the single root x = "<< -c/b << endl;

else

{

disc = pow(b,2.0) - 4*a*c; //calculate discriminant

if (disc> 0.0)

{

disc = sqrt(disc);

root1=(-b+disc)/(2*a);

root2=(-b-disc)/(2*a);

cout<< "The two real roots are"

<< root1 << "and" << root2 << endl;

}

else if (disc<0.0) {

cout<< "Both roots are imaginary. ";

double realPart = -b/(2*a);

double imaginaryPart =sqrt(-disc)/(2*a);

cout << "Roots are complex and different." << endl;

cout << "x1 = " << realPart << "+" << imaginaryPart << "i" << endl;

cout << "x2 = " << realPart << "-" << imaginaryPart << "i" << endl;

}

else

cout<<"Both roots are equal to " <<-b/(2*a)<<endl;

}

return 0;

}

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