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Code Challenge 2.2 - Quadratic Equation

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Introduction

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 a² + bx + c = 0.

Skills to Practice

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

Challenge Tasks

• Create a console project named Challenge 2-2.
• 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

Sample 1: two real roots

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

Sample 2: one real root

Enter the coefficient a: 1 [Enter]
Enter the coefficient b: 2 [Enter]
Enter the coefficient c: 1 [Enter]
The root of the equation is: -1.

Sample 3: no real roots

Enter the coefficient a: 1 [Enter]
Enter the coefficient b: 2 [Enter]
Enter the coefficient c: 5 [Enter]
There are no real roots.