Solving any quadratic equation by c++

Solving any quadratic equation by c++:

THEORY:

The general form of a quadratic equation is ax² + bx + c = 0 where a, b, c are real numbers (constants) and a ≠ 0, while b and c may be zero.

Let D=b² – 4ac= Discriminant

1.      If D>0, roots are real & different

R1=-b+sqrt(b² – 4ac) & R2=-b-sqrt(b² – 4ac)

2.      If D=0, roots are real & equal R1=R2=-b/2a

3.      If D<0, roots are complex & different

R1=(-b/2a)+i(sqrt(b² – 4ac)/2a)

R1=(-b/2a)-i(sqrt(b² – 4ac)/2a)

CODING:

#include<iostream.h>

#include<conio.h>

#include<math.h>

int main()

{

float a,b,c,x1,x2,realp,imgp,D;

clrscr();

cout<<"enter the coefficient a,b,c="<<endl;

cin>>a>>b>>c;

D=(b*b)-(4*a*c);

if(D>0)

{

x1=(-b+sqrt(D))/(2*a);

x2=(-b-sqrt(D))/(2*a);

cout<<"roots are real and different"<<endl;

cout<<"x1="<<x1<<endl;

cout<<"x2="<<x2<<endl;

}

else if(D==0)

{

cout<<"the roots are real and same"<<endl;

x1=x2=(-b)/(2*a);

cout<<"x1=x2="<<x1<<endl;

}

else

{

realp=(-b)/(2*a);

imgp=sqrt(-D)/(2*a);

cout<<"roots are complex and different"<<endl;

cout<<"x1="<<realp<<"+"<<imgp<<"i"<<endl;

cout<<"x1="<<realp<<"-"<<imgp<<"i"<<endl;

}

getch();

}

OUTPUT:

Scilab Programming

C ++ Programming

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