C++ Program to find all the roots of a quadratic equation. Using user define functions

Explanation:

1. Pass-by-Value (findRootsByValue):
   • Function Definition: void findRootsByValue(double a, double b, double c, double &root1, double &root2, bool &hasRealRoots)
   • This function calculates the discriminant of the quadratic equation.
   • Based on the value of the discriminant:
     • If positive, it computes two distinct real roots.
     • If zero, it computes one real root (repeated).
     • If negative, it sets the hasRealRoots flag to false.
   • The roots and the real roots flag are passed by reference so that they can be updated and accessed outside the function.
2. Pass-by-Reference (findRootsByReference):
   • Function Definition: void findRootsByReference(double a, double b, double c, double &root1, double &root2, bool &hasRealRoots)
   • This function performs the same operations as findRootsByValue but with the results passed by reference.
   • The roots and the real roots flag are updated directly in the calling function.
3. Main Function (main):
   • The user is prompted to input the coefficients $a$, $b$, and $c$ of the quadratic equation.
   • The program calculates and displays the roots using both methods.

Example Outputs:

Example 1:

Input:

• Coefficient $a$: 1
• Coefficient $b$: -3
• Coefficient $c$: 2

Output:

Example 2:

Input:

• Coefficient $a$: 1
• Coefficient $b$: 2
• Coefficient $c$: 1

Output:

Example 3:

Input:

• Coefficient $a$: 1
• Coefficient $b$: 1
• Coefficient $c$: 1

Output: