Write a C++ program to solve quadratic equations of the form: a*x^2 + b*x + c =

Question

Write a C++ program to solve quadratic equations of the form:

      a*x^2 + b*x + c = 0

(where x^2 means x to the second power), for which coefficients a, b, c are entered from the keyboard by an operator, after prompt, as follows:

      Enter coefficient a: <operator enters a>

      Enter coefficient b: <operator enters b>

      Enter coefficient c: <operator enters c>

      <one empty line should follow this sequence of three prompts>

After equation is solved, the program should display the results in the following format:

1) If the solutions exist in the real domain, the program should output:

      Quadratic equation with the following coefficients:

      a: <value>; b: <value>; c: <value>

      has the following roots

      Root1: <value>; Root2: <value>;

      <one empty line should follow this sequence of statements>

2) In case there are no solutions (roots) in the real domain, the program should output:

      Quadratic equation with the following coefficients:

      a: <value>; b: <value>; c: <value>

      has no roots in the real domain.

      <one empty line should follow this sequence of statements>

The program should run in a loop, solving one equation in a single iteration of the loop, where the number of iterations of the loop is determined by reading a value from the keyboard at the beginning of the program, before any coefficients are entered, in the following format:

      This is a Quadratic Equation Solver.

      Enter the number of equations to solve: <operator enters a value>

Explanation / Answer

please rate- thanks

#include<iostream>
#include<cmath>
using namespace std;
int main()
{double a,b,c;
int i,n;
double discriminant,denom;
cout<<"This is a Quadratic Equation Solver. ";
cout<<"Enter the number of equations to solve: ";
cin>>n;
for(i=0;i<n;i++)
{
cout<<"For the equation ax^2+bx+c: ";
cout<<"Enter coefficient a: ";
cin>>a;
cout<<"Enter coefficient b: ";
cin>>b;
cout<<"Enter coefficient c: ";
cin>>c;
discriminant=pow(b,2.)-4*a*c;
denom=2.*a;
4

cout<<"The roots of "<<a<<"x^2+"<<b<<"x+"<<c<<" are: ";
if(a==0)
    cout<<"undefined ";
else if(discriminant<0)
     cout<<"imaginary ";
else
    cout<<(-b+sqrt(discriminant))/denom<<" and "<<(-b-sqrt(discriminant))/denom<<endl;
cout<<endl;
}
system("pause");
return 0;
}

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.