Question

reword m the program into a design document

Write a C++ program that solves a quadratic equation to find its roots. The roots of a quadratic equation ax2 + bx + c = 0 (where a is not zero) are given by the formula -b + b2 - 4ac 2a The value of the discriminant b2 - 4ac determines the nature of roots. If the value of the discriminant is zero, then the equation has a single real root. If the value of the discriminant is positive, then the equation has two real roots. If the value of the discriminant is negative, then the equation has two complex roots. The program takes values of a, b, and e as input and outputs the roots. Be creative in how you output complex roots. Include a loop to repeat this calculation for new input values until the program reads -999.

diregard the m

Answer 1

Here is the answer for the following problem. I have tried to make it as simple as possible.

However if you feel any problem in understanding the code please feel free to ask.

Code:

#include <iostream>
#include <cmath>

using namespace std;

int main()
{
//data variables
double a, b, c;
double discriminant, root_1, root_2, realPart, imagPart;
  
cout << "Enter cofficient a: ";
cin >> a;
cout << "Enter cofficient b: ";
cin >> b;
cout << "Enter cofficient c: ";
cin >> c;
  
  
//find the discriminant, which determine the nature of roots
discriminant = b * b - 4 * a * c;

// condition for real and different roots
if (discriminant > 0) {
  
root_1 = (-b + sqrt(discriminant)) / (2 * a);
root_2 = (-b - sqrt(discriminant)) / (2 * a);
cout << "Root1: " << root_1 << endl;
cout << "Root2: " << root_2 << endl;
}

// condition for real and equal roots
else if (discriminant == 0) {
root_1 = root_2 = -b / (2 * a);
cout << "Root1: " << root_1 << endl;
cout << "Root2: " << root_2 << endl;
}

// if roots are not real
else {
realPart = -b / (2 * a);
imagPart = sqrt(-discriminant) / (2 * a);
cout << "Root1: " << realPart << "+" << imagPart << "i" << endl;
cout << "Root2: " << realPart << "-" << imagPart << "i" << endl;
}

return 0;
}

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Output:

No real roots

Two Real roots

One real roots