Week 1 Bonus Exercise

A quadratic equation is an equation that can be written as

In this equation x represents an unknown number, and a, b, and c are representing known numbers. Possible solutions for a given quadratic equation can be calculated by the formula

The expression is called the discriminant. Using the discriminant makes it is easy to check the number of solutions for a given quadratic equation:

• If the discriminant is 0, the quadratic equation has exactly one real solution.
• If the discriminant is > 0, the quadratic equation has two real solutions.
• f the discriminant is < 0, the quadratic equation has two complex solutions.

Write a program that asks the user for the numbers a, b and c. The program should then print out how many solutions the quadratic equation has.

Below is an example execution of the program:

Please enter the value of a: 4
Please enter the value of b: 2
Please enter the value of c: -2

The quadratic equation has 2 real solutions.

Here is an another example execution of the program:

Please enter the value of a: 1
Please enter the value of b: 2
Please enter the value of c: 3

The quadratic equation has 2 complex solutions.

And here is yet another example execution of the program:

Please enter the value of a: 1
Please enter the value of b: 2
Please enter the value of c: 1

The quadratic equation has 1 real solution.

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