Application 2.2 Quadratics

Objective

Your task is to create a program that solves quadratic equations using the quadratic formula. Given coefficients a, b, and c, your program should calculate the roots of the equation ax² + bx + c = 0.

Skills to Practice

• Invoking math functions for complex calculations
• Branching with selection statements

Tasks

• Create a new project named application-2-2
• Complete the following tasks:
  • Prompt the user to input the coefficients a, b, and c.
  • Calculate the discriminant b² - 4ac.
  • Determine the roots of the equation based on the discriminant:
    • If the discriminant is positive, there are two distinct real roots.
    • If the discriminant is zero, there is one real root.
    • If the discriminant is negative, there are no real roots.
  • Display the roots in a clear format.

Sample Output

1
Enter the coefficient a: 1 [Enter]
2
Enter the coefficient b: -3 [Enter]
3
Enter the coefficient c: 2 [Enter]
4
The roots of the equation are: 2 and 1.

1
Enter the coefficient a: 1 [Enter]
2
Enter the coefficient b: -3 [Enter]
3
Enter the coefficient c: 2 [Enter]
4
The roots of the equation are: 2 and 1.

1
Enter the coefficient a: 1 [Enter]
2
Enter the coefficient b: -3 [Enter]
3
Enter the coefficient c: 2 [Enter]
4
The roots of the equation are: 2 and 1.