Programming Project 5 Due April 7, 2016 At 4:00 PM

Page 1 Of 2programming Project 5 Due 4 7 2016 At 400 Pmwrite A Java

Write a Java program to determine the roots of a quadratic equation based on user input. The program should read three sets of values for a, b, and c from the keyboard, with each set representing the coefficients of the quadratic equation ax² + bx + c = 0. The program must include a separate method, determineRootTypes(int, int, int), which calculates the discriminant (b² - 4ac) and returns an integer indicating the nature of the roots: 1 for real roots, 2 for repeated roots, and 3 for imaginary roots. The main method should loop three times, each time prompting for input, calling determineRootTypes(), and then computing and displaying the roots accordingly if they are real or repeated. The program should compile and run correctly, with proper documentation and labeled source code file. Only one Java file should be uploaded to Moodle.

Paper For Above instruction

The task of this programming project is to develop a Java application that accurately determines and displays the roots of a quadratic equation based on user inputs. The program must handle three different sets of coefficients, manage input and output interactions, invoke a specific method for discriminant evaluation, and display the roots appropriately, adhering to specific specifications for method design and program structure.

At its core, the program models the mathematical problem of solving quadratic equations, utilizing the fundamental quadratic formula: r₁, r₂ = (-b ± √(b² - 4ac)) / 2a. The discriminant (b² - 4ac) plays a pivotal role in classifying the nature of the roots—whether they are real, repeated, or complex (imaginary). Setting up this classification simplifies the process of root calculation and output formatting.

The program architecture consists of a main method that orchestrates user interaction, data collection, and the invocation of a dedicated method for discriminant evaluation. The determineRootTypes(int, int, int) method encapsulates the logic for disciminant calculation and root type determination, enhancing modularity and clarity. According to the value returned by this method, the main method proceeds to calculate roots if they are real or repeated, or indicates complex roots otherwise.

To implement this systematically, the program employs a loop that iterates three times, each cycle prompting the user to input a, b, and c for the quadratic equation. After invoking the discriminant evaluation method, the program checks the return value to decide the next steps. If roots are real or repeated, the program computes the roots using the quadratic formula, ensuring proper handling of the case where the roots are equal (discriminant zero). For complex roots, the program outputs a message indicating the roots are imaginary, as per specification.

In terms of coding practices, the program emphasizes clear documentation, proper variable naming, and correct handling of floating-point calculations for roots. The code must be written in Java with attention to compilation and execution correctness. Only one source code file (.java) is to be uploaded, which contains all necessary classes, methods, and logic. This ensures adherence to submission instructions and maintains the simplicity necessary for this educational exercise.

In conclusion, this project enhances understanding of quadratic equations, conditional logic, and method interactions in Java programming. It emphasizes modular design, user input handling, and output formatting, critical skills in software development and algorithm implementation.

References

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