Question
Please use Java for the following!!!!! A complex number is a number in the form a + bi, where a and b are real numbers
Please use Java for the following!!!!!
A complex number is a number in the form a + bi, where a and b are real numbers and i is sqrt(-1). The numbers a and b are known as the real part andimaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:
a + bi + c + di = (a + c) + (b + d)i
a + bi - (c + di) = (a - c) + (b - d)i
(a + bi)*(c + di) = (ac - bd) + (bc + ad)i
(a + bi)/(c + di) = (ac + bd)/(c2 + d2) + (bc - ad)i/(c2 + d2)
Design and implement a class named Complex for representing complex numbers and the methods add, subtract, multiply, and divide for performing complex number operations, and override the toString() method to return a string representation for a complex number. The toString method returns (a + bi) as a string. If b is 0, it simply returns a. Your Complex class should also implement the Comparable and Cloneable interfaces. Provide three constructors Complex(a, b), Complex(a), and Complex(). Complex() creates a Complex object for number 0 and Complex(a) creates a Complex object with 0 for b. Also provide the getRealPart() and getImaginaryPart() methods for returning the real and imaginary part of the complex number, respectively. Write a test program that prompts the user to enter two complex numbers and displays the result of their addition, subtraction, multiplication, and division.
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